Theorems · Theorem · category theory

CategoryTheory.Triangulated.TStructure.IsGE.ge

∀ {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 : C} {n : ℤ} [self : t.IsGE X n], t.ge n X

Defined in

Mathlib.CategoryTheory.Triangulated.TStructure.Basic

Cited by

3 results in Mathlib

Foundations

Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Triangulated.TStructure.IsGE