Theorems · Theorem · category theory
DerivedCategory.exists_iso_Q_obj_of_isGE
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Abelian C]
[inst_2 : HasDerivedCategory C] (X : DerivedCategory C) (n : ℤ) [hX : X.IsGE n],
∃ K, ∃ (_ : K.IsStrictlyGE n), Nonempty (X ≅ DerivedCategory.Q.obj K)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Isostatement and proof · cited by 3,963
- CategoryTheory.Abelianstatement and proof · cited by 1,753
- ComplexShape.upstatement · cited by 1,123
- CochainComplexstatement and proof · cited by 1,016
- HasDerivedCategorystatement and proof · cited by 190
- DerivedCategorystatement and proof · cited by 165
- DerivedCategory.Qstatement and proof · cited by 102
- CochainComplex.IsStrictlyGEstatement and proof · cited by 34
- CategoryTheory.Triangulated.TStructure.geproof · cited by 14
- DerivedCategory.TStructure.tproof · cited by 13
Cited by1
Results whose statement or proof uses this declaration.
- DerivedCategory.Plus.exists_injective_nonempty_isoproof · cited by 0