Theorems · Theorem · category theory
DerivedCategory.isLE_Q_obj_iff
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Abelian C]
[inst_2 : HasDerivedCategory C] (K : CochainComplex C ℤ) (n : ℤ), (DerivedCategory.Q.obj K).IsLE n ↔ K.IsLE n- Cited by
- 0 results in Mathlib
- Foundations
- Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites19
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.Functor.compproof · cited by 6,529
- CategoryTheory.Abelianstatement and proof · cited by 1,753
- ComplexShape.upstatement and proof · cited by 1,123
- CochainComplexstatement and proof · cited by 1,016
- CategoryTheory.Limits.IsZeroproof · cited by 306
- CategoryTheory.Iso.appproof · cited by 253
- HomologicalComplex.homologyproof · cited by 209
- HasDerivedCategorystatement and proof · cited by 190
- DerivedCategorystatement · cited by 165
- DerivedCategory.Qstatement and proof · cited by 102
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