Theorems · Definition · category theory
mulEquivIsoCommGroupIso
{X Y : CommGrpCat} → ↑X ≃* ↑Y ≅ X ≅ YMultiplicative equivalences between CommGroups are the same as (isomorphic to) isomorphisms
in CommGrpCat.
- Defined in
- Mathlib.Algebra.Category.Grp.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Isostatement and proof · cited by 3,963
- MulEquivstatement and proof · cited by 1,142
- TypeCat.ofHomproof · cited by 389
- CommGrpCatstatement and proof · cited by 74
- CommGrpCat.carrierstatement and proof · cited by 59
- CategoryTheory.Iso.commGroupIsoToMulEquivproof · cited by 3
- MulEquiv.toCommGrpIsoproof · cited by 2
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