Theorems · Definition · category theory
AddCommGrpCat.Hom.hom
{X Y : AddCommGrpCat} → X.Hom Y → ↑X →+ ↑YTurn a morphism in AddCommGrpCat back into an AddMonoidHom.
- Defined in
- Mathlib.Algebra.Category.Grp.Basic
- Cited by
- 72 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
- AddCommGrpCatstatement and proof · cited by 462
- AddCommGrpCat.carrierstatement · cited by 407
- AddCommGrpCat.Homstatement and proof · cited by 2
Cited by103
Results whose statement or proof uses this declaration.
- AddCommGrpCat.hom_extstatement and proof · cited by 13
- PresheafOfModules.ModuleColimit.ιMproof · cited by 12
- CategoryTheory.ShortComplex.ab_exact_iffproof · cited by 10
- AddCommGrpCat.uliftFunctorproof · cited by 7
- AddCommGrpCat.Colimits.Quot.descproof · cited by 7
- CategoryTheory.ShortComplex.abLeftHomologyDataproof · cited by 7
- CategoryTheory.Iso.addCommGroupIsoToAddEquivproof · cited by 7
- AddCommGrpCat.mono_iff_injectiveproof · cited by 6
- AddCommGrpCat.binaryProductLimitConeproof · cited by 6
- CategoryTheory.ShortComplex.abToCyclesstatement · cited by 6
- PresheafOfModules.ModuleColimit.homEquivproof · cited by 6
- AddCommGrpCat.coyonedaproof · cited by 5