Theorems · Definition · category theory
ComplexShape.Rel
{ι : Type u_1} → ComplexShape ι → ι → ι → PropNonzero differentials X i ⟶ X j shall be allowed
on homological complexes when Rel i j holds.
- Defined in
- Mathlib.Algebra.Homology.ComplexShape
- Cited by
- 518 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 2 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ComplexShapestatement and proof · cited by 1,684
Cited by748
Results whose statement or proof uses this declaration.
- ComplexShape.nextproof · cited by 297
- ComplexShape.prevproof · cited by 223
- CategoryTheory.Functor.mapHomologicalComplexproof · cited by 145
- HomologicalComplex.extendproof · cited by 115
- ComplexShape.symmproof · cited by 83
- HomologicalComplex₂.totalproof · cited by 73
- HomologicalComplex.shapestatement · cited by 59
- HomologicalComplex.homotopyCofiber.Xstatement and proof · cited by 59
- HomologicalComplex.opproof · cited by 50
- CochainComplex.shiftFunctorproof · cited by 50
- ComplexShape.next_eq'statement and proof · cited by 48
- ComplexShape.Embedding.BoundaryGEproof · cited by 40
Showing the 200 most cited of 748.