Theorems · Definition · category theory
MulEquiv.toMonCatIso
{X Y : Type u} → [inst : Monoid X] → [inst_1 : Monoid Y] → X ≃* Y → (MonCat.of X ≅ MonCat.of Y)Build an isomorphism in the category MonCat from a MulEquiv between Monoids.
- Defined in
- Mathlib.Algebra.Category.MonCat.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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Isostatement · cited by 3,963
- Monoidstatement and proof · cited by 3,887
- MulEquivstatement and proof · cited by 1,142
- MulEquiv.symmproof · cited by 482
- MonCatstatement · cited by 127
- MulEquiv.toMonoidHomproof · cited by 126
- MonCat.ofHomproof · cited by 24
- MonCat.ofstatement · cited by 22
Cited by5
Results whose statement or proof uses this declaration.
- CategoryTheory.yonedaMonObjIsoOfRepresentableByproof · cited by 3
- MulEquiv.toMonCatIso_homstatement and proof · cited by 0
- MulEquiv.toMonCatIso_invstatement and proof · cited by 0
- monTypeEquivalenceMonproof · cited by 0
- mulEquivIsoMonCatIsoproof · cited by 0