Theorems · Theorem · category theory

CochainComplex.HomComplex.Cochain.rightShift_rightUnshift

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C]
  {K L : CochainComplex C ℤ} {a n' : ℤ}
  (γ : CochainComplex.HomComplex.Cochain K ((CategoryTheory.shiftFunctor (CochainComplex C ℤ) a).obj L) n') (n : ℤ)
  (hn' : n' + a = n), (γ.rightUnshift n hn').rightShift a n' hn' = γ

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