Theorems · Theorem · category theory

CochainComplex.HomComplex.Cocycle.rightShiftAddEquiv_symm_apply

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

Defined in

Mathlib.Algebra.Homology.HomotopyCategory.HomComplexShift

Cited by

0 results in Mathlib

Foundations

Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Preadditive