Theorems · Definition · category theory
AddGrpCat.Hom.hom
{X Y : AddGrpCat} → X.Hom Y → ↑X →+ ↑YTurn a morphism in AddGrpCat back into an AddMonoidHom.
- Defined in
- Mathlib.Algebra.Category.Grp.Basic
- Cited by
- 20 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
- AddGrpCatstatement and proof · cited by 80
- AddGrpCat.carrierstatement · cited by 67
- AddGrpCat.Homstatement and proof · cited by 2
Cited by30
Results whose statement or proof uses this declaration.
- CategoryTheory.AddGrpObj.comp_negproof · cited by 9
- AddGrpCat.toGrpproof · cited by 4
- AddGrpCat.uliftFunctorproof · cited by 2
- AddGrpCat.binaryProductLimitConeproof · cited by 2
- AddGrpCat.hom_extstatement and proof · cited by 2
- AddGrpCat.isZero_of_subsingletonproof · cited by 2
- AddGrpCat.mono_iff_injectiveproof · cited by 2
- CategoryTheory.AddGrpObj.sub_compproof · cited by 1
- AddCommGrpCat.FilteredColimits.colimitCoconeproof · cited by 1
- CategoryTheory.AddGrpObj.zsmul_compproof · cited by 1
- ProfiniteAddGrp.ProfiniteCompletion.preimageproof · cited by 1
- CategoryTheory.Iso.addGroupIsoToAddEquivproof · cited by 1