Theorems · Theorem · category theory
CochainComplex.HomComplex.Cocycle.fromSingleMk_zero
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C]
[inst_2 : CategoryTheory.Limits.HasZeroObject C] (X : C) (K : CochainComplex C ℤ) {p q n : ℤ} (h : p + n = q) (q' : ℤ)
(hq' : q + 1 = q'), CochainComplex.HomComplex.Cocycle.fromSingleMk 0 h q' hq' ⋯ = 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- HomologicalComplex.Xstatement · cited by 1,839
- CategoryTheory.Limits.HasZeroObjectstatement and proof · cited by 1,298
- ComplexShape.upstatement · cited by 1,123
- CochainComplexstatement and proof · cited by 1,016
- CochainComplex.HomComplex.Cocyclestatement · cited by 130
- CochainComplex.singleFunctorstatement and proof · cited by 111
- CochainComplex.HomComplex.Cochain.extproof · cited by 68
- CochainComplex.HomComplex.Cochain.v.congr_simpproof · cited by 38
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.InjectiveResolution.extMk_zeroproof · cited by 0