Theorems · Theorem · category theory

CochainComplex.HomComplex.Cochain.add_comp

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

Defined in

Mathlib.Algebra.Homology.HomotopyCategory.HomComplex

Cited by

5 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.Preadditive