Theorems · Definition · category theory
CommGrpCat.Hom.hom
{X Y : CommGrpCat} → X.Hom Y → ↑X →* ↑YTurn a morphism in CommGrpCat back into a MonoidHom.
- Defined in
- Mathlib.Algebra.Category.Grp.Basic
- Cited by
- 26 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
- CommGrpCatstatement and proof · cited by 74
- CommGrpCat.carrierstatement · cited by 59
- CommGrpCat.Homstatement and proof · cited by 2
Cited by36
Results whose statement or proof uses this declaration.
- CommGrpCat.coyonedaproof · cited by 5
- CommGrpCat.toAddCommGrpproof · cited by 4
- CategoryTheory.Iso.commGroupIsoToMulEquivproof · cited by 3
- CommGrpCat.coyonedaTypeproof · cited by 3
- CommGrpCat.isZero_of_subsingletonproof · cited by 2
- CommGrpCat.uliftFunctorproof · cited by 2
- CommGrpCat.binaryProductLimitConeproof · cited by 2
- CommGrpCat.coyonedaForgetproof · cited by 2
- CommGrpCat.hom_extstatement and proof · cited by 2
- CommGrpCat.ker_eq_bot_of_monostatement and proof · cited by 1
- CommGrpCat.mono_iff_ker_eq_botstatement and proof · cited by 1
- CommGrpCat.range_eq_top_of_epistatement and proof · cited by 1