Theorems · Definition · category theory
DerivedCategory.IsLE
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[inst_1 : CategoryTheory.Abelian C] → [inst_2 : HasDerivedCategory C] → DerivedCategory C → ℤ → PropGiven X : DerivedCategory C and n : ℤ, this property means
that X is ≤ n for the canonical t-structure.
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Abelianstatement and proof · cited by 1,753
- HasDerivedCategorystatement and proof · cited by 190
- DerivedCategorystatement and proof · cited by 165
- CategoryTheory.Triangulated.TStructure.IsLEproof · cited by 48
- DerivedCategory.TStructure.tproof · cited by 13
Cited by7
Results whose statement or proof uses this declaration.
- DerivedCategory.isLE_iffstatement and proof · cited by 1
- DerivedCategory.isZero_of_isLEstatement and proof · cited by 1
- DerivedCategory.exists_iso_Q_obj_of_isGE_of_isLEstatement and proof · cited by 1
- DerivedCategory.exists_iso_Q_obj_of_isLEstatement and proof · cited by 1
- DerivedCategory.exists_iso_singleFunctor_obj_of_isGE_of_isLEstatement and proof · cited by 1
- DerivedCategory.isLE_Q_obj_iffstatement · cited by 0
- DerivedCategory.Plus.isLE_ι_obj_iffstatement and proof · cited by 0