Theorems · Theorem · category theory

CochainComplex.HomComplex.Cochain.leftShift_units_smul

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C] {R : Type u_1}
  [inst_2 : Ring R] [inst_3 : CategoryTheory.Linear R C] {K L : CochainComplex C ℤ} {n : ℤ}
  (γ : CochainComplex.HomComplex.Cochain K L n) (a n' : ℤ) (hn' : n + a = n') (x : Rˣ),
  (x • γ).leftShift a n' hn' = x • γ.leftShift a n' hn'

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.PreadditiveRingCategoryTheory.Linear