Theorems · Theorem · category theory

CochainComplex.HomComplex.Cochain.zero_cochain_comp_v

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C]
  {F G K : CochainComplex C ℤ} {n : ℤ} (z₁ : CochainComplex.HomComplex.Cochain F G 0)
  (z₂ : CochainComplex.HomComplex.Cochain G K n) (p q : ℤ) (hpq : p + n = q),
  (z₁.comp z₂ ⋯).v p q hpq = CategoryTheory.CategoryStruct.comp (z₁.v p p ⋯) (z₂.v p q hpq)

Defined in

Mathlib.Algebra.Homology.HomotopyCategory.HomComplex

Cited by

17 results in Mathlib

Foundations

Depth 53 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Preadditive