Theorems · Definition · category theory

CochainComplex.HomComplex.Cochain.ofHoms

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.Preadditive C] →
      {F G : CochainComplex C ℤ} → ((p : ℤ) → F.X p ⟶ G.X p) → CochainComplex.HomComplex.Cochain F G 0

A cochain of degree 0 from F to G can be constructed from a family of morphisms F.X p ⟶ G.X p for all p : ℤ.

Defined in

Mathlib.Algebra.Homology.HomotopyCategory.HomComplex

Cited by

8 results in Mathlib

Foundations

Depth 40 from the axioms · uses propext

Assumes

CategoryTheory.CategoryCategoryTheory.Preadditive