Theorems · Theorem · category theory

CategoryTheory.Pretriangulated.shiftFunctorZero_op_inv_app

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

Defined in

Mathlib.CategoryTheory.Triangulated.Opposite.Basic

Cited by

2 results in Mathlib

Foundations

Depth 53 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.HasShift