Theorems · Theorem · category theory

CochainComplex.HomComplex.Cochain.rightShift_v

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C]
  {K L : CochainComplex C ℤ} {n : ℤ} (γ : CochainComplex.HomComplex.Cochain K L n) (a n' : ℤ) (hn' : n' + a = n)
  (p q : ℤ) (hpq : p + n' = q) (p' : ℤ) (hp' : p + n = p'),
  (γ.rightShift a n' hn').v p q hpq =
    CategoryTheory.CategoryStruct.comp (γ.v p p' hp') (L.shiftFunctorObjXIso a q p' ⋯).inv

Defined in

Mathlib.Algebra.Homology.HomotopyCategory.HomComplexShift

Cited by

22 results in Mathlib

Foundations

Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Preadditive