Theorems · Definition · category theory
MulEquiv.toCommGrpIso
{X Y : CommGrpCat} → ↑X ≃* ↑Y → (X ≅ Y)Build an isomorphism in the category CommGrpCat from a MulEquiv
between CommGroups.
- Defined in
- Mathlib.Algebra.Category.Grp.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Isostatement · cited by 3,963
- MulEquivstatement and proof · cited by 1,142
- MulEquiv.symmproof · cited by 482
- MulEquiv.toMonoidHomproof · cited by 126
- CommGrpCatstatement and proof · cited by 74
- CommGrpCat.carrierstatement and proof · cited by 59
- CommGrpCat.ofHomproof · cited by 19
Cited by4
Results whose statement or proof uses this declaration.
- MulEquiv.toCommGrpIso_homstatement and proof · cited by 0
- MulEquiv.toCommGrpIso_invstatement and proof · cited by 0
- commGrpTypeEquivalenceCommGrpproof · cited by 0
- mulEquivIsoCommGroupIsoproof · cited by 0