Theorems · Theorem · category theory

CochainComplex.HomComplex.Cochain.ext

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

Defined in

Mathlib.Algebra.Homology.HomotopyCategory.HomComplex

Cited by

68 results in Mathlib

Foundations

Depth 40 from the axioms · uses propext, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Preadditive