Theorems · Definition · category theory

CategoryTheory.Pretriangulated.Triangle.functorMk

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.HasShift C ℤ] →
      {J : Type u_1} →
        [inst_2 : CategoryTheory.Category.{v_1, u_1} J] →
          {obj₁ obj₂ obj₃ : CategoryTheory.Functor J C} →
            (obj₁ ⟶ obj₂) →
              (obj₂ ⟶ obj₃) →
                (obj₃ ⟶ obj₁.comp (CategoryTheory.shiftFunctor C 1)) →
                  CategoryTheory.Functor J (CategoryTheory.Pretriangulated.Triangle C)

Constructor for functors to the category of triangles.

Defined in

Mathlib.CategoryTheory.Triangulated.Basic

Cited by

16 results in Mathlib

Foundations

Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.HasShiftCategoryTheory.Category