Mathlib Map

Theorems · Definition · category theory

DerivedCategory.Plus.IsLE

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    [inst_1 : CategoryTheory.Abelian C] → [inst_2 : HasDerivedCategory C] → DerivedCategory.Plus C → ℤ → Prop

Given X : DerivedCategory.Plus C and n : ℤ, this property means that X is ≤ n for the canonical t-structure.

Defined in
Mathlib.Algebra.Homology.DerivedCategory.Plus
Cited by
2 results in Mathlib
Foundations
Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.AbelianHasDerivedCategory
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

DerivedCategory.Plus.isZero_homology_of_isLE · cited by 0Plus.isZero_homology_of_i…DerivedCategory.Plus.isLE_ι_obj_iff · cited by 0Plus.isLE_ι_obj_iffCategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Abelian · cited by 1753CategoryTheory.AbelianHasDerivedCategory · cited by 190HasDerivedCategoryCategoryTheory.Triangulated.TStructure.IsLE · cited by 48TStructure.IsLEDerivedCategory.Plus · cited by 7DerivedCategory.PlusDerivedCategory.Plus.TStructure.t · cited by 0TStructure.tPlus.IsLECITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.