Theorems · Theorem · category theory
CategoryTheory.Functor.mapHomologicalComplexUpToQuasiIsoLocalizerMorphism_functor
∀ {C : Type u_1} {D : Type u_2} [inst : CategoryTheory.Category.{v_1, u_1} C]
[inst_1 : CategoryTheory.Category.{v_2, u_2} D] (F : CategoryTheory.Functor C D) {ι : Type u_3} (c : ComplexShape ι)
[inst_2 : CategoryTheory.Preadditive C] [inst_3 : CategoryTheory.Preadditive D]
[inst_4 : CategoryTheory.CategoryWithHomology C] [inst_5 : CategoryTheory.CategoryWithHomology D]
[inst_6 : F.Additive] [inst_7 : F.PreservesHomology],
(F.mapHomologicalComplexUpToQuasiIsoLocalizerMorphism c).functor = F.mapHomologicalComplex c- Defined in
- Mathlib.Algebra.Homology.Localization
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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 and proof · cited by 16,252
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- HomologicalComplexstatement · cited by 1,691
- ComplexShapestatement and proof · cited by 1,684
- CategoryTheory.Functor.Additivestatement and proof · cited by 1,179
- CategoryTheory.Functor.mapHomologicalComplexstatement · cited by 145
- CategoryTheory.LocalizerMorphism.functorstatement and proof · cited by 140
- CategoryTheory.CategoryWithHomologystatement and proof · cited by 116
- HomologicalComplex.quasiIsostatement · cited by 42
- CategoryTheory.Functor.PreservesHomologystatement and proof · cited by 42
- CategoryTheory.Functor.mapHomologicalComplexUpToQuasiIsoLocalizerMorphismstatement and proof · cited by 5
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.