Theorems · Definition · category theory

DerivedCategory.singleFunctorsPostcompQhIso

(C : Type u) →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.Abelian C] →
      [inst_2 : HasDerivedCategory C] →
        DerivedCategory.singleFunctors C ≅ (HomotopyCategory.singleFunctors C).postcomp DerivedCategory.Qh

The isomorphism DerivedCategory.singleFunctors C ≅ (HomotopyCategory.singleFunctors C).postcomp Qh given by the definition of DerivedCategory.singleFunctors.

Defined in: Mathlib.Algebra.Homology.DerivedCategory.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Abelian HasDerivedCategory

Mathlib docs Source Loogle LeanSearch

Around this declaration

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

Cites13

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.Isostatement · cited by 3,963
CategoryTheory.Abelianstatement and proof · cited by 1,753
ComplexShape.upstatement · cited by 1,123
CategoryTheory.Iso.reflproof · cited by 727
HasDerivedCategorystatement and proof · cited by 190
DerivedCategorystatement · cited by 165
HomotopyCategorystatement · cited by 132
CategoryTheory.SingleFunctorsstatement · cited by 65
DerivedCategory.Qhstatement · cited by 27
CategoryTheory.SingleFunctors.postcompstatement · cited by 22
DerivedCategory.singleFunctorsstatement and proof · cited by 13

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.