Theorems · Theorem · category theory

CochainComplex.HomComplex.Cochain.comp_zero_cochain_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 n)
  (z₂ : CochainComplex.HomComplex.Cochain G K 0) (p q : ℤ) (hpq : p + n = q),
  (z₁.comp z₂ ⋯).v p q hpq = CategoryTheory.CategoryStruct.comp (z₁.v p q hpq) (z₂.v q q ⋯)

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