Theorems · Theorem · category theory
HomologicalComplex.dFrom_eq_zero
∀ {ι : Type u_1} {V : Type u} [inst : CategoryTheory.Category.{v, u} V]
[inst_1 : CategoryTheory.Limits.HasZeroMorphisms V] {c : ComplexShape ι} (C : HomologicalComplex V c) {i : ι},
¬c.Rel i (c.next i) → C.dFrom i = 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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
- ComplexShape.Relstatement and proof · cited by 518
- ComplexShape.nextstatement and proof · cited by 297
- HomologicalComplex.shapeproof · cited by 59
- HomologicalComplex.xNextstatement · cited by 28
- HomologicalComplex.dFromstatement · cited by 26
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