Theorems · Definition · category theory

CategoryTheory.Pretriangulated.noConfusionType

Sort u_1 →
  {C : Type u} →
    [inst : CategoryTheory.Category.{v, u} C] →
      [inst_1 : CategoryTheory.Limits.HasZeroObject C] →
        [inst_2 : CategoryTheory.HasShift C ℤ] →
          [inst_3 : CategoryTheory.Preadditive C] →
            [inst_4 : ∀ (n : ℤ), (CategoryTheory.shiftFunctor C n).Additive] →
              CategoryTheory.Pretriangulated C →
                {C' : Type u} →
                  [inst' : CategoryTheory.Category.{v, u} C'] →
                    [inst'_1 : CategoryTheory.Limits.HasZeroObject C'] →
                      [inst'_2 : CategoryTheory.HasShift C' ℤ] →
                        [inst'_3 : CategoryTheory.Preadditive C'] →
                          [inst'_4 : ∀ (n : ℤ), (CategoryTheory.shiftFunctor C' n).Additive] →
                            CategoryTheory.Pretriangulated C' → Sort u_1

Defined in

Mathlib.CategoryTheory.Triangulated.Pretriangulated

Cited by

0 results in Mathlib

Foundations

Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasZeroObjectCategoryTheory.HasShiftCategoryTheory.PreadditiveCategoryTheory.Functor.AdditiveCategoryTheory.CategoryCategoryTheory.Limits.HasZeroObjectCategoryTheory.HasShiftCategoryTheory.PreadditiveCategoryTheory.Functor.Additive