Theorems · Theorem · category theory
prevD_eq_zero
∀ {ι : Type u_1} {V : Type u} [inst : CategoryTheory.Category.{v, u} V] [inst_1 : CategoryTheory.Preadditive V]
{c : ComplexShape ι} {C D : HomologicalComplex V c} (f : (i j : ι) → C.X i ⟶ D.X j) (i : ι),
¬c.Rel (c.prev i) i → (prevD i) f = 0- Defined in
- Mathlib.Algebra.Homology.Homotopy
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- AddMonoidHomstatement · cited by 3,230
- HomologicalComplex.Xstatement and proof · 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
- CategoryTheory.Limits.comp_zeroproof · cited by 365
- ComplexShape.prevstatement and proof · cited by 223
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