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Theorems · Definition · category theory

DerivedCategory.Plus.TStructure.t

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    [inst_1 : CategoryTheory.Abelian C] →
      [inst_2 : HasDerivedCategory C] → CategoryTheory.Triangulated.TStructure (DerivedCategory.Plus C)

The canonical t-structure on DerivedCategory.Plus C.

Defined in
Mathlib.Algebra.Homology.DerivedCategory.Plus
Cited by
0 results in Mathlib
Foundations
Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.AbelianHasDerivedCategory
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Around this declaration

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

DerivedCategory.Plus.IsGE · cited by 3Plus.IsGEDerivedCategory.Plus.IsLE · cited by 2Plus.IsLECategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Abelian · cited by 1753CategoryTheory.AbelianCategoryTheory.Triangulated.TStructure · cited by 318Triangulated.TStructureHasDerivedCategory · cited by 190HasDerivedCategoryDerivedCategory · cited by 165DerivedCategoryDerivedCategory.TStructure.t · cited by 13TStructure.tCategoryTheory.Triangulated.TStructure.plus · cited by 7TStructure.plusDerivedCategory.Plus · cited by 7DerivedCategory.PlusCategoryTheory.ObjectProperty.tStructure · cited by 3ObjectProperty.tStructureTStructure.tCITED BYCITES

Cites9

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.