Theorems · Definition · category theory
HomologicalComplex.Hom.f
{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} → A.Hom B → (i : ι) → A.X i ⟶ B.X i- Cited by
- 845 results in Mathlib
- Foundations
- Depth 4 from the axioms, rests on 12 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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 · cited by 32,603
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- HomologicalComplex.Xstatement · cited by 1,839
- HomologicalComplexstatement and proof · cited by 1,691
- ComplexShapestatement and proof · cited by 1,684
- HomologicalComplex.Homstatement and proof · cited by 23
Cited by953
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.mapHomologicalComplexproof · cited by 145
- CochainComplex.HomComplex.Cochain.ofHomproof · cited by 121
- AlgebraicTopology.DoldKan.PInftyproof · cited by 94
- HomologicalComplex.hom_extstatement and proof · cited by 92
- HomologicalComplex.evalproof · cited by 84
- CochainComplex.shiftFunctorproof · cited by 50
- CochainComplex.HomComplex.Cochain.ofHom_vstatement and proof · cited by 46
- HomologicalComplex.shortComplexFunctor'proof · cited by 42
- CategoryTheory.Functor.mapBifunctorHomologicalComplexproof · cited by 35
- HomologicalComplex.opFunctorproof · cited by 34
- HomologicalComplex.Hom.commstatement and proof · cited by 29
- HomologicalComplex₂.flipproof · cited by 20
Showing the 200 most cited of 953.