Theorems · Theorem · category theory

CochainComplex.HomComplex.Cochain.rightShiftLinearEquiv_symm_apply

∀ {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 a n' : ℤ) (hn' : n' + a = n)
  (a_1 : CochainComplex.HomComplex.Cochain K ((CategoryTheory.shiftFunctor (CochainComplex C ℤ) a).obj L) n'),
  (CochainComplex.HomComplex.Cochain.rightShiftLinearEquiv R K L n a n' hn').symm a_1 = a_1.rightUnshift n hn'

Defined in

Mathlib.Algebra.Homology.HomotopyCategory.HomComplexShift

Cited by

0 results in Mathlib

Foundations

Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.PreadditiveRingCategoryTheory.Linear