Theorems · Theorem · category theory

CategoryTheory.shift_shiftFunctorCompIsoId_inv_app

∀ {C : Type u} {A : Type u_1} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : AddGroup A]
  [inst_2 : CategoryTheory.HasShift C A] (n m : A) (h : n + m = 0) (X : C),
  (CategoryTheory.shiftFunctor C n).map ((CategoryTheory.shiftFunctorCompIsoId C n m h).inv.app X) =
    (CategoryTheory.shiftFunctorCompIsoId C m n ⋯).inv.app ((CategoryTheory.shiftFunctor C n).obj X)

Defined in

Mathlib.CategoryTheory.Shift.Basic

Cited by

5 results in Mathlib

Foundations

Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryAddGroupCategoryTheory.HasShift