Theorems · Theorem · category theory

CategoryTheory.Pretriangulated.Triangle.shiftFunctorAdd_eq

∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C]
  [inst_2 : CategoryTheory.HasShift C ℤ] [inst_3 : ∀ (n : ℤ), (CategoryTheory.shiftFunctor C n).Additive] (a b : ℤ),
  CategoryTheory.shiftFunctorAdd (CategoryTheory.Pretriangulated.Triangle C) a b =
    CategoryTheory.Pretriangulated.Triangle.shiftFunctorAdd' C a b (a + b) ⋯

Defined in

Mathlib.CategoryTheory.Triangulated.TriangleShift

Cited by

1 results in Mathlib

Foundations

Depth 50 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.PreadditiveCategoryTheory.HasShiftCategoryTheory.Functor.Additive