Theorems · Definition · category theory

CategoryTheory.Pretriangulated.TriangleOpEquivalence.counitIso

(C : Type u_1) →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    [inst_1 : CategoryTheory.HasShift C ℤ] →
      (CategoryTheory.Pretriangulated.TriangleOpEquivalence.inverse C).comp
          (CategoryTheory.Pretriangulated.TriangleOpEquivalence.functor C) ≅
        CategoryTheory.Functor.id (CategoryTheory.Pretriangulated.Triangle Cᵒᵖ)

The counit isomorphism of the equivalence triangleOpEquivalence C : (Triangle C)ᵒᵖ ≌ Triangle Cᵒᵖ .

Defined in

Mathlib.CategoryTheory.Triangulated.Opposite.Triangle

Cited by

7 results in Mathlib

Foundations

Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.HasShift