Theorems · Definition · category theory

CategoryTheory.ShiftedHom.opEquiv

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    [inst_1 : CategoryTheory.HasShift C ℤ] →
      {X Y : C} →
        (n : ℤ) → CategoryTheory.ShiftedHom X Y n ≃ CategoryTheory.ShiftedHom (Opposite.op Y) (Opposite.op X) n

The bijection ShiftedHom X Y n ≃ ShiftedHom (Opposite.op Y) (Opposite.op X) n when n : ℤ, and X and Y are objects of a category equipped with a shift by ℤ.

Defined in

Mathlib.CategoryTheory.Shift.ShiftedHomOpposite

Cited by

9 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.HasShift