Theorems · Theorem · category theory

CochainComplex.mappingCone.triangleRotateShortComplexSplitting_r

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v, u_1} C] [inst_1 : CategoryTheory.Preadditive C]
  [inst_2 : CategoryTheory.Limits.HasBinaryBiproducts C] {K L : CochainComplex C ℤ} (φ : K ⟶ L) (n : ℤ),
  (CochainComplex.mappingCone.triangleRotateShortComplexSplitting φ n).r = (CochainComplex.mappingCone.snd φ).v n n ⋯

Defined in

Mathlib.Algebra.Homology.HomotopyCategory.DegreewiseSplit

Cited by

0 results in Mathlib

Foundations

Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.PreadditiveCategoryTheory.Limits.HasBinaryBiproducts