Theorems · Definition · category theory
MonCat.Hom.hom
{X Y : MonCat} → X.Hom Y → ↑X →* ↑YTurn a morphism in MonCat back into a MonoidHom.
- Defined in
- Mathlib.Algebra.Category.MonCat.Basic
- Cited by
- 38 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
- MonoidHomstatement · cited by 3,629
- MonCatstatement and proof · cited by 127
- MonCat.carrierstatement · cited by 107
- MonCat.Homstatement and proof · cited by 2
Cited by66
Results whose statement or proof uses this declaration.
- CategoryTheory.MonObj.comp_mulproof · cited by 10
- CategoryTheory.yonedaGrpproof · cited by 9
- CategoryTheory.yonedaGrpObjproof · cited by 9
- CategoryTheory.SubmonoidFunctor.toFunctorproof · cited by 8
- CategoryTheory.SubmonoidFunctor.imageproof · cited by 8
- CategoryTheory.MonObj.comp_oneproof · cited by 7
- MonCat.shrinkFunctorproof · cited by 6
- AddMonCat.equivalenceproof · cited by 6
- CategoryTheory.SubmonoidFunctor.liftproof · cited by 4
- CategoryTheory.SubmonoidFunctor.comapproof · cited by 4
- CategoryTheory.SubmonoidFunctor.extproof · cited by 4
- MonCat.unitsproof · cited by 3