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Theorems · Definition · category theory

AddMonCat.Hom.hom

{X Y : AddMonCat} → X.Hom Y → ↑X →+ ↑Y

Turn a morphism in AddMonCat back into an AddMonoidHom.

Defined in
Mathlib.Algebra.Category.MonCat.Basic
Cited by
21 results in Mathlib
Foundations
Depth 18 from the axioms · uses propext, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.yonedaAddGrpObj · cited by 9CategoryTheory.yonedaAddG…CategoryTheory.AddMonObj.comp_add · cited by 9AddMonObj.comp_addCategoryTheory.yonedaAddGrp · cited by 7CategoryTheory.yonedaAddG…CategoryTheory.AddMonObj.comp_zero · cited by 6AddMonObj.comp_zeroAddMonCat.equivalence · cited by 6AddMonCat.equivalenceAddMonCat.uliftFunctor · cited by 2AddMonCat.uliftFunctorAddMonCat.comp_apply · cited by 1AddMonCat.comp_applyAddMonCat.hom_ext · cited by 1AddMonCat.hom_extAddMonCat.hom_zero · cited by 0AddMonCat.hom_zeroAddCommMonCat.fullyFaithfulForgetToAddMonCat · cited by 0AddCommMonCat.fullyFaithf…AddMonCat.Hom.Simps.hom · cited by 0Simps.homCategoryTheory.yonedaAddGrpObj_map · cited by 0CategoryTheory.yonedaAddG…CategoryTheory.yonedaAddGrp_map_app · cited by 0CategoryTheory.yonedaAddG…AddCommMonCat.hom_forget₂_map · cited by 0AddCommMonCat.hom_forget₂…AddMonCat.ofHom_hom · cited by 0AddMonCat.ofHom_homCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homAddMonoidHom · cited by 3230AddMonoidHomAddMonCat · cited by 71AddMonCatAddMonCat.carrier · cited by 60AddMonCat.carrierAddMonCat.Hom · cited by 2AddMonCat.HomHom.homCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by31

Results whose statement or proof uses this declaration.