Theorems · Theorem · category theory

CochainComplex.HomComplex.Cochain.leftShift_add

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C]
  {K L : CochainComplex C ℤ} {n : ℤ} (γ₁ γ₂ : CochainComplex.HomComplex.Cochain K L n) (a n' : ℤ) (hn' : n + a = n'),
  (γ₁ + γ₂).leftShift a n' hn' = γ₁.leftShift a n' hn' + γ₂.leftShift a n' hn'

Defined in

Mathlib.Algebra.Homology.HomotopyCategory.HomComplexShift

Cited by

1 results in Mathlib

Foundations

Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Preadditive