Theorems · Definition · category theory
GrpCat.Hom.hom
{X Y : GrpCat} → X.Hom Y → ↑X →* ↑YTurn a morphism in GrpCat back into a MonoidHom.
- Defined in
- Mathlib.Algebra.Category.Grp.Basic
- Cited by
- 47 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
- GrpCatstatement and proof · cited by 146
- GrpCat.carrierstatement · cited by 125
- GrpCat.Homstatement and proof · cited by 2
Cited by73
Results whose statement or proof uses this declaration.
- CategoryTheory.GrpObj.comp_invproof · cited by 10
- GrpCat.SurjectiveOfEpiAuxs.tauproof · cited by 7
- GrpCat.shrinkFunctorproof · cited by 6
- GrpCat.toAddGrpproof · cited by 4
- GrpCat.SurjectiveOfEpiAuxs.fromCoset_eq_of_mem_rangestatement and proof · cited by 3
- GrpCat.SurjectiveOfEpiAuxs.fromCoset_ne_of_nin_rangestatement and proof · cited by 3
- GrpCat.hom_extstatement and proof · cited by 3
- GrpCat.shrinkFunctorMapproof · cited by 2
- GrpCat.uliftFunctorproof · cited by 2
- GrpCat.SurjectiveOfEpiAuxs.XWithInfinity.fromCoset.injEqstatement and proof · cited by 2
- GrpCat.SurjectiveOfEpiAuxs.g_apply_fromCosetstatement and proof · cited by 2
- GrpCat.binaryProductLimitConeproof · cited by 2