Theorems · Theorem · category theory
HomologicalComplex.Hom.ext
∀ {ι : Type u_1} {V : Type u} {inst : CategoryTheory.Category.{v, u} V}
{inst_1 : CategoryTheory.Limits.HasZeroMorphisms V} {c : ComplexShape ι} {A B : HomologicalComplex V c}
{x y : A.Hom B}, x.f = y.f → x = y- Cited by
- 3 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- HomologicalComplex.Xstatement and proof · cited by 1,839
- HomologicalComplexstatement and proof · cited by 1,691
- ComplexShapestatement and proof · cited by 1,684
- HomologicalComplex.Hom.fstatement and proof · cited by 845
- HomologicalComplex.dproof · cited by 598
- ComplexShape.Relproof · cited by 518
- HomologicalComplex.Homstatement and proof · cited by 23
Cited by3
Results whose statement or proof uses this declaration.
- HomologicalComplex.hom_extproof · cited by 92
- HomologicalComplex.hom_f_injectiveproof · cited by 0
- HomologicalComplex.Hom.ext_iffproof · cited by 0