Theorems · Theorem · category theory

CochainComplex.HomComplex.Cochain.comp_assoc_of_third_is_zero_cochain

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C]
  {F G K L : CochainComplex C ℤ} {n₁ n₂ n₁₂ : ℤ} (z₁ : CochainComplex.HomComplex.Cochain F G n₁)
  (z₂ : CochainComplex.HomComplex.Cochain G K n₂) (z₃ : CochainComplex.HomComplex.Cochain K L 0) (h₁₂ : n₁ + n₂ = n₁₂),
  (z₁.comp z₂ h₁₂).comp z₃ ⋯ = z₁.comp (z₂.comp z₃ ⋯) h₁₂

Defined in

Mathlib.Algebra.Homology.HomotopyCategory.HomComplex

Cited by

1 results in Mathlib

Foundations

Depth 54 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Preadditive