Theorems · Theorem · category theory

CochainComplex.HomComplex.Cochain.rightUnshift_v

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

Defined in

Mathlib.Algebra.Homology.HomotopyCategory.HomComplexShift

Cited by

5 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.Preadditive