Theorems · Definition · category theory
HomologicalComplex.xNext
{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 → VEither C.X j, if there is some j with c.rel i j, or C.X i.
- Cited by
- 28 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Classical.choice, 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.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- HomologicalComplex.Xproof · cited by 1,839
- HomologicalComplexstatement and proof · cited by 1,691
- ComplexShapestatement and proof · cited by 1,684
- ComplexShape.nextproof · cited by 297
Cited by36
Results whose statement or proof uses this declaration.
- HomologicalComplex.dFromstatement · cited by 26
- HomologicalComplex.xNextIsostatement · cited by 11
- HomologicalComplex.Hom.nextstatement · cited by 5
- Homotopy.mkCoinductiveAux₂statement and proof · cited by 4
- Homotopy.mkInductiveAux₂statement and proof · cited by 4
- HomologicalComplex.Hom.sqFromstatement · cited by 4
- HomologicalComplex.xNextIsoSelfstatement · cited by 3
- HomologicalComplex.dFrom_eqstatement · cited by 2
- HomologicalComplex.Hom.comm_fromstatement · cited by 2
- fromNextstatement · cited by 1
- HomologicalComplex.dFrom_comp_xNextIsostatement · cited by 1
- HomologicalComplex.dFrom_comp_xNextIsoSelfstatement · cited by 1