Theorems · Definition · category theory

CochainComplex.HomComplex.Cochain.v

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

The value of a cochain on a triplet ⟨p, q, hpq⟩.

Defined in

Mathlib.Algebra.Homology.HomotopyCategory.HomComplex

Cited by

213 results in Mathlib

Foundations

Depth 39 from the axioms, rests on 500 definitions · uses propext

Assumes

CategoryTheory.CategoryCategoryTheory.Preadditive