Theorems · Theorem · category theory

CochainComplex.HomComplex.Cochain.fromSingleMk_v

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C]
  [inst_2 : CategoryTheory.Limits.HasZeroObject C] {X : C} {K : CochainComplex C ℤ} {p q : ℤ} (f : X ⟶ K.X q) {n : ℤ}
  (h : p + n = q),
  (CochainComplex.HomComplex.Cochain.fromSingleMk f h).v p q h =
    CategoryTheory.CategoryStruct.comp (HomologicalComplex.singleObjXSelf (ComplexShape.up ℤ) p X).hom f

Defined in

Mathlib.Algebra.Homology.HomotopyCategory.HomComplexSingle

Cited by

4 results in Mathlib

Foundations

Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.PreadditiveCategoryTheory.Limits.HasZeroObject