Theorems · Definition · category theory
AddEquiv.toAddMonCatIso
{X Y : Type u} → [inst : AddMonoid X] → [inst_1 : AddMonoid Y] → X ≃+ Y → (AddMonCat.of X ≅ AddMonCat.of Y)Build an isomorphism in the category AddMonCat from
an AddEquiv between AddMonoids.
- 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
- AddMonoidstatement and proof · cited by 2,864
- AddEquivstatement and proof · cited by 1,087
- AddEquiv.symmproof · cited by 530
- AddEquiv.toAddMonoidHomproof · cited by 101
- AddMonCatstatement · cited by 71
- AddMonCat.ofHomproof · cited by 17
- AddMonCat.ofstatement · cited by 16
Cited by4
Results whose statement or proof uses this declaration.
- CategoryTheory.yonedaAddMonObjIsoOfRepresentableByproof · cited by 3
- addEquivIsoAddMonCatIsoproof · cited by 0
- AddEquiv.toAddMonCatIso_homstatement and proof · cited by 0
- AddEquiv.toAddMonCatIso_invstatement and proof · cited by 0