Theorems · Definition · category theory

DerivedCategory.Plus.Qh

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    [inst_1 : CategoryTheory.Abelian C] →
      [inst_2 : HasDerivedCategory C] → CategoryTheory.Functor (HomotopyCategory.Plus C) (DerivedCategory.Plus C)

The localization functor HomotopyCategory.Plus C ⥤ DerivedCategory.Plus C.

Defined in: Mathlib.Algebra.Homology.DerivedCategory.Plus
Cited by: 1 results in Mathlib
Foundations: Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Abelian HasDerivedCategory

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Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites16

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.Functor.compproof · cited by 6,529
CategoryTheory.Abelianstatement and proof · cited by 1,753
ComplexShape.upstatement · cited by 1,123
HasDerivedCategorystatement and proof · cited by 190
DerivedCategorystatement · cited by 165
HomotopyCategorystatement · cited by 132
CategoryTheory.ObjectProperty.liftproof · cited by 33
DerivedCategory.Qhproof · cited by 27
DerivedCategory.TStructure.tstatement and proof · cited by 13
HomotopyCategory.plusstatement · cited by 9

Cited by5

Results whose statement or proof uses this declaration.

DerivedCategory.Plus.Qproof · cited by 1
DerivedCategory.Plus.QhCompιIsoιCompQhstatement and proof · cited by 0
DerivedCategory.Plus.Qh_map_bijective_of_isKInjectivestatement and proof · cited by 0
CategoryTheory.Functor.rightDerivedFunctorPlusproof · cited by 0
CategoryTheory.Functor.rightDerivedFunctorPlusUnitstatement and proof · cited by 0