Theorems · Theorem · category theory

CochainComplex.HomComplex.Cochain.leftShift_rightShift

∀ {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),
  (γ.rightShift a n' hn').leftShift a n hn' = (a * n + a * (a - 1) / 2).negOnePow • γ.shift a

Defined in

Mathlib.Algebra.Homology.HomotopyCategory.HomComplexShift

Cited by

1 results in Mathlib

Foundations

Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Preadditive