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Theorems · Theorem · category theory

AddGrpCat.hom_ext

∀ {X Y : AddGrpCat} {f g : X ⟶ Y}, AddGrpCat.Hom.hom f = AddGrpCat.Hom.hom g → f = g
Defined in
Mathlib.Algebra.Category.Grp.Basic
Cited by
2 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.

AddGrpCat.isZero_of_subsingleton · cited by 2AddGrpCat.isZero_of_subsi…AddGrpCat.hom_ext_iff · cited by 0AddGrpCat.hom_ext_iffQuiver.Hom · cited by 32603Quiver.HomAddMonoidHom · cited by 3230AddMonoidHomAddGrpCat · cited by 80AddGrpCatAddGrpCat.carrier · cited by 67AddGrpCat.carrierAddGrpCat.Hom.hom · cited by 20Hom.homAddGrpCat.Hom.ext · cited by 2Hom.extAddGrpCat.hom_extCITED BYCITES

Cites6

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

Cited by2

Results whose statement or proof uses this declaration.