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[Merged by Bors] - docs(LinearAlgebra/InvariantBasisNumber): first letter of a sentence #19861

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[Merged by Bors] - docs(LinearAlgebra/InvariantBasisNumber): first letter of a sentence #19861

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docs(LinearAlgebra/InvariantBasisNumber): first letter of a sentence …
madvorak Dec 10, 2024
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Update Mathlib/LinearAlgebra/InvariantBasisNumber.lean
madvorak Dec 10, 2024
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6 changes: 3 additions & 3 deletions Mathlib/LinearAlgebra/InvariantBasisNumber.lean
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Expand Up @@ -24,10 +24,10 @@ Let `R` be a (not necessary commutative) ring.

It is also useful to consider the following stronger conditions:

- the *rank condition*, witnessed by the type class `RankCondition R`, states that
the existence of a surjective linear map `(Fin n → R) →ₗ[R] (Fin m → R)` implies `m ≤ n`
- The *rank condition*, witnessed by the type class `RankCondition R`, states that
the existence of a surjective linear map `(Fin n → R) →ₗ[R] (Fin m → R)` implies `m ≤ n`.

- the *strong rank condition*, witnessed by the type class `StrongRankCondition R`, states
- The *strong rank condition*, witnessed by the type class `StrongRankCondition R`, states
that the existence of an injective linear map `(Fin n → R) →ₗ[R] (Fin m → R)`
implies `n ≤ m`.

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