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Theorems · Theorem · category theory

GrpCat.hom_ext

∀ {X Y : GrpCat} {f g : X ⟶ Y}, GrpCat.Hom.hom f = GrpCat.Hom.hom g → f = g
Defined in
Mathlib.Algebra.Category.Grp.Basic
Cited by
3 results in Mathlib
Foundations
Depth 19 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.

GrpCat.isZero_of_subsingleton · cited by 2GrpCat.isZero_of_subsingl…GrpCat.SurjectiveOfEpiAuxs.comp_eq · cited by 1SurjectiveOfEpiAuxs.comp_…GrpCat.hom_ext_iff · cited by 0GrpCat.hom_ext_iffQuiver.Hom · cited by 32603Quiver.HomMonoidHom · cited by 3629MonoidHomGrpCat · cited by 146GrpCatGrpCat.carrier · cited by 125GrpCat.carrierGrpCat.Hom.hom · cited by 47Hom.homGrpCat.Hom.ext · cited by 2Hom.extGrpCat.hom_extCITED BYCITES

Cites6

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

Cited by3

Results whose statement or proof uses this declaration.