Theorems · Theorem · category theory
AddCommGrpCat.hom_ext
∀ {X Y : AddCommGrpCat} {f g : X ⟶ Y}, AddCommGrpCat.Hom.hom f = AddCommGrpCat.Hom.hom g → f = g- Defined in
- Mathlib.Algebra.Category.Grp.Basic
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- AddMonoidHomstatement · cited by 3,230
- AddCommGrpCatstatement and proof · cited by 462
- AddCommGrpCat.carrierstatement · cited by 407
- AddCommGrpCat.Hom.homstatement and proof · cited by 72
- AddCommGrpCat.Hom.extproof · cited by 2
Cited by13
Results whose statement or proof uses this declaration.
- AddCommGrpCat.isZero_of_subsingletonproof · cited by 4
- ModuleCat.smul_naturalityproof · cited by 2
- AddCommGrpCat.int_hom_extproof · cited by 2
- AddCommGrpCat.isColimit_iff_bijective_descproof · cited by 1
- CategoryTheory.Abelian.Ext.postcomp_smul_id_eq_zero_of_mem_annihilatorproof · cited by 1
- AlgebraicGeometry.tilde.map_compproof · cited by 1
- AlgebraicGeometry.tilde.map_idproof · cited by 1
- AlgebraicGeometry.Scheme.Modules.map_comp_smulproof · cited by 1
- PresheafOfModules.smul_mapproof · cited by 1
- AddCommGrpCat.image.facproof · cited by 0
- AddCommGrpCat.image.lift_facproof · cited by 0
- AddCommGrpCat.kernelIsoKer_hom_comp_subtypeproof · cited by 0