Theorems · Definition · category theory

CategoryTheory.Functor.mapTriangleIdIso

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

The canonical isomorphism (𝟭 C).mapTriangle ≅ 𝟭 (Triangle C).

Defined in

Mathlib.CategoryTheory.Triangulated.Functor

Cited by

6 results in Mathlib

Foundations

Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.HasShift