Theorems · Definition · category theory
HomologicalComplex.d
{ι : Type u_1} →
{V : Type u} →
[inst : CategoryTheory.Category.{v, u} V] →
[inst_1 : CategoryTheory.Limits.HasZeroMorphisms V] →
{c : ComplexShape ι} → (self : HomologicalComplex V c) → (i j : ι) → self.X i ⟶ self.X j- Cited by
- 598 results in Mathlib
- Foundations
- Depth 4 from the axioms, rests on 11 definitions · uses no axioms
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.
- 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
Cited by743
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.mapHomologicalComplexproof · cited by 145
- CochainComplex.HomComplex.δproof · cited by 102
- HomologicalComplex.restrictionproof · cited by 88
- HomologicalComplex.shapestatement · cited by 59
- HomologicalComplex.opproof · cited by 50
- CochainComplex.shiftFunctorproof · cited by 50
- HomologicalComplex.shortComplexFunctor'proof · cited by 42
- HomologicalComplex.d_comp_dstatement and proof · cited by 36
- HomologicalComplex.Hom.commstatement and proof · cited by 29
- HomologicalComplex.dFromproof · cited by 26
- HomologicalComplex.dToproof · cited by 24
- HomologicalComplex.liftCyclesstatement and proof · cited by 22
Showing the 200 most cited of 743.