Theorems · Definition · category theory
MulEquiv.toGrpIso
{X Y : GrpCat} → ↑X ≃* ↑Y → (X ≅ Y)Build an isomorphism in the category GrpCat from a MulEquiv between Groups.
- Defined in
- Mathlib.Algebra.Category.Grp.Basic
- Cited by
- 4 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
- GrpCatstatement and proof · cited by 146
- MulEquiv.toMonoidHomproof · cited by 126
- GrpCat.carrierstatement and proof · cited by 125
- GrpCat.ofHomproof · cited by 23
Cited by7
Results whose statement or proof uses this declaration.
- CategoryTheory.yonedaGrpObjIsoOfRepresentableByproof · cited by 3
- mulEquivIsoGroupIsoproof · cited by 0
- MulEquiv.toGrpIso_homstatement and proof · cited by 0
- MulEquiv.toGrpIso_invstatement and proof · cited by 0
- CategoryTheory.yonedaGrpObjIsoOfRepresentableBy_homstatement · cited by 0
- CategoryTheory.yonedaGrpObjIsoOfRepresentableBy_invstatement · cited by 0
- grpTypeEquivalenceGrpproof · cited by 0