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style(LeftInvariantRightCentered): change the notation
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favonia committed Nov 26, 2023
1 parent 4285d06 commit 1e094c7
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Showing 2 changed files with 5 additions and 3 deletions.
2 changes: 1 addition & 1 deletion src/Mugen/Cat/HierarchyTheory.agda
Original file line number Diff line number Diff line change
Expand Up @@ -36,7 +36,7 @@ Hierarchy-theory o r = Monad (Strict-orders o r)
open Displacement-algebra 𝒟

M : Functor (Strict-orders o o) (Strict-orders o o)
M .F₀ L = L ⋉ strict-order [ ε ]
M .F₀ L = L ⋉[ ε ] strict-order
M .F₁ f .hom (l , d) = (f .hom l) , d
M .F₁ f .strict-mono x<y =
⋉-elim (λ a1≡a2 b1<b2 biased (ap (f .hom) a1≡a2) b1<b2)
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6 changes: 4 additions & 2 deletions src/Mugen/Order/LeftInvariantRightCentered.agda
Original file line number Diff line number Diff line change
Expand Up @@ -75,8 +75,8 @@ module _ {o r} {A B : Strict-order o r} {b : ⌞ B ⌟} where
centred (A.<-thin a1<a2 a1<a2′ i) (B.≤-thin ≤b ≤b′ i) (B.≤-thin b≤ b≤′ i)


_⋉_[_] : {o} (A B : Strict-order o o) ⌞ B ⌟ Strict-order o o
A ⋉ B [ b ] = to-strict-order order where
LeftInvariantRightCentered : {o} (A B : Strict-order o o) ⌞ B ⌟ Strict-order o o
LeftInvariantRightCentered A B b = to-strict-order order where
module A = Strict-order A
module B = Strict-order B

Expand All @@ -86,3 +86,5 @@ A ⋉ B [ b ] = to-strict-order order where
order .make-strict-order.<-trans {x} {y} {z} = ⋉-trans x y z
order .make-strict-order.<-thin = ⋉-thin _ _
order .make-strict-order.has-is-set = ×-is-hlevel 2 A.has-is-set B.has-is-set

syntax LeftInvariantRightCentered A B b = A ⋉[ b ] B

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