Theorems · Definition · category theory
DerivedCategory.Plus.IsGE
{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 → PropGiven X : DerivedCategory.Plus C and n : ℤ, this property means
that X is ≥ n for the canonical t-structure.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 118 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
- CategoryTheory.Triangulated.TStructure.IsGEproof · cited by 48
- DerivedCategory.Plusstatement and proof · cited by 7
- DerivedCategory.Plus.TStructure.tproof · cited by 0
Cited by3
Results whose statement or proof uses this declaration.
- DerivedCategory.Plus.isGE_ι_obj_iffstatement and proof · cited by 1
- DerivedCategory.Plus.isZero_homology_of_isGEstatement and proof · cited by 0
- DerivedCategory.Plus.exists_injective_nonempty_isostatement and proof · cited by 0