Theorems · Definition · category theory
HomologicalComplex.X
{ι : Type u_1} →
{V : Type u} →
[inst : CategoryTheory.Category.{v, u} V] →
[inst_1 : CategoryTheory.Limits.HasZeroMorphisms V] → {c : ComplexShape ι} → HomologicalComplex V c → ι → V- Cited by
- 1,839 results in Mathlib
- Foundations
- Depth 3 from the axioms, rests on 5 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- HomologicalComplexstatement and proof · cited by 1,691
- ComplexShapestatement and proof · cited by 1,684
Cited by2,225
Results whose statement or proof uses this declaration.
- HomologicalComplex.Hom.fstatement · cited by 845
- HomologicalComplex.dstatement · cited by 598
- CochainComplex.HomComplex.Cochainproof · cited by 341
- CochainComplex.HomComplex.Cochain.vstatement · cited by 213
- CategoryTheory.Functor.mapHomologicalComplexproof · cited by 145
- HomologicalComplex.hom_extstatement · cited by 92
- HomologicalComplex.restrictionproof · cited by 88
- HomologicalComplex.evalproof · cited by 84
- HomologicalComplex.iCyclesstatement · cited by 80
- HomologicalComplex.pOpcyclesstatement · cited by 71
- HomologicalComplex₂.toGradedObjectproof · cited by 71
- HomologicalComplex.XIsoOfEqstatement · cited by 70
Showing the 200 most cited of 2,225.