Theorems · Theorem · category theory

CategoryTheory.Pretriangulated.opShiftFunctorEquivalence_zero_unitIso_inv_app

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.HasShift C ℤ] (X : Cᵒᵖ),
  (CategoryTheory.Pretriangulated.opShiftFunctorEquivalence C 0).unitIso.inv.app X =
    CategoryTheory.CategoryStruct.comp
      ((CategoryTheory.shiftFunctor C 0).map ((CategoryTheory.shiftFunctorZero Cᵒᵖ ℤ).hom.app X).unop).op
      ((CategoryTheory.shiftFunctorZero C ℤ).inv.app (Opposite.unop X)).op

Defined in

Mathlib.CategoryTheory.Triangulated.Opposite.Basic

Cited by

1 results in Mathlib

Foundations

Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.HasShift