Theorems · Definition · category theory

CategoryTheory.Triangulated.TStructure.descTruncGT

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    [inst_1 : CategoryTheory.Preadditive C] →
      [inst_2 : CategoryTheory.Limits.HasZeroObject C] →
        [inst_3 : CategoryTheory.HasShift C ℤ] →
          [inst_4 : ∀ (n : ℤ), (CategoryTheory.shiftFunctor C n).Additive] →
            [inst_5 : CategoryTheory.Pretriangulated C] →
              (t : CategoryTheory.Triangulated.TStructure C) →
                {X Y : C} → (X ⟶ Y) → (n₀ n₁ : ℤ) → n₀ + 1 = n₁ → [t.IsGE Y n₁] → (t.truncGT n₀).obj X ⟶ Y

Constructor for morphisms from (t.truncGT n₀).obj Y.

Defined in

Mathlib.CategoryTheory.Triangulated.TStructure.TruncLEGT

Cited by

3 results in Mathlib

Foundations

Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.PreadditiveCategoryTheory.Limits.HasZeroObjectCategoryTheory.HasShiftCategoryTheory.Functor.AdditiveCategoryTheory.PretriangulatedCategoryTheory.Triangulated.TStructure.IsGE