Theorems · Definition · category theory
DerivedCategory.Q
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[inst_1 : CategoryTheory.Abelian C] →
[inst_2 : HasDerivedCategory C] → CategoryTheory.Functor (CochainComplex C ℤ) (DerivedCategory C)The localization functor CochainComplex C ℤ ⥤ DerivedCategory C.
- Cited by
- 102 results in Mathlib
- Foundations
- Depth 99 from the axioms, rests on 2,201 definitions · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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.Functorstatement · cited by 16,252
- CategoryTheory.Abelianstatement and proof · cited by 1,753
- ComplexShape.upstatement · cited by 1,123
- CochainComplexstatement · cited by 1,016
- HasDerivedCategorystatement and proof · cited by 190
- DerivedCategorystatement · cited by 165
- HomologicalComplexUpToQuasiIso.Qproof · cited by 11
Cited by116
Results whose statement or proof uses this declaration.
- CategoryTheory.Abelian.Ext.comp_homproof · cited by 27
- CategoryTheory.Abelian.Ext.mk₀_homproof · cited by 20
- DerivedCategory.homologyFunctorFactorsstatement · cited by 20
- DerivedCategory.triangleOfSESproof · cited by 17
- DerivedCategory.quotientCompQhIsostatement · cited by 16
- CategoryTheory.Functor.mapDerivedCategorySingleFunctorproof · cited by 13
- DerivedCategory.TStructure.tproof · cited by 13
- DerivedCategory.singleFunctorIsoCompQstatement · cited by 10
- CategoryTheory.Functor.mapDerivedCategoryFactorsstatement · cited by 10
- DerivedCategory.singleFunctorsPostcompQIsostatement · cited by 9
- CategoryTheory.Abelian.Ext.homEquivproof · cited by 8
- DerivedCategory.triangleOfSESδstatement and proof · cited by 8