Theorems · Definition · category theory
AddCommMonCat.Hom.hom
{X Y : AddCommMonCat} → X.Hom Y → ↑X →+ ↑YTurn a morphism in AddCommMonCat back into an AddMonoidHom.
- Defined in
- Mathlib.Algebra.Category.MonCat.Basic
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- AddMonoidHomstatement · cited by 3,230
- AddCommMonCatstatement and proof · cited by 50
- AddCommMonCat.carrierstatement · cited by 41
- AddCommMonCat.Homstatement and proof · cited by 2
Cited by26
Results whose statement or proof uses this declaration.
- AddCommMonCat.equivalenceproof · cited by 6
- AddCommMonCat.coyonedaproof · cited by 5
- AddCommMonCat.coyonedaTypeproof · cited by 3
- AddCommMonCat.coyonedaForgetproof · cited by 2
- SemiRingCat.FilteredColimits.colimitCoconeIsColimit.descAddMonoidHomproof · cited by 2
- AddCommMonCat.uliftFunctorproof · cited by 2
- AddCommMonCat.hom_extstatement and proof · cited by 1
- CategoryTheory.Iso.commMonCatIsoToAddEquivproof · cited by 0
- AddCommMonCat.hom_compstatement · cited by 0
- AddCommMonCat.hom_ext_iffstatement and proof · cited by 0
- AddCommMonCat.hom_forget₂_mapstatement · cited by 0
- AddCommMonCat.hom_idstatement · cited by 0