Theorems · Definition · category theory
CategoryTheory.Localization.Construction.WhiskeringLeftEquivalence.functor
{C : Type uC} →
[inst : CategoryTheory.Category.{uC', uC} C] →
(W : CategoryTheory.MorphismProperty C) →
(D : Type uD) →
[inst_1 : CategoryTheory.Category.{uD', uD} D] →
CategoryTheory.Functor (CategoryTheory.Functor W.Localization D) (W.FunctorsInverting D)The functor (W.Localization ⥤ D) ⥤ (W.FunctorsInverting D) induced by the
composition with W.Q : C ⥤ W.Localization.
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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.objproof · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.Functor.whiskeringLeftproof · cited by 395
- CategoryTheory.MorphismProperty.IsInvertedByproof · cited by 118
- CategoryTheory.MorphismProperty.Qproof · cited by 98
- CategoryTheory.MorphismProperty.Localizationstatement and proof · cited by 72
- CategoryTheory.ObjectProperty.liftproof · cited by 33
- CategoryTheory.MorphismProperty.FunctorsInvertingstatement · cited by 18
Cited by10
Results whose statement or proof uses this declaration.
- CategoryTheory.Localization.Construction.WhiskeringLeftEquivalence.counitIsostatement · cited by 2
- CategoryTheory.Localization.Construction.WhiskeringLeftEquivalence.unitIsostatement · cited by 2
- CategoryTheory.Localization.Construction.WhiskeringLeftEquivalence.counitIso_homstatement · cited by 0
- CategoryTheory.Localization.Construction.WhiskeringLeftEquivalence.counitIso_invstatement · cited by 0
- CategoryTheory.Localization.Construction.WhiskeringLeftEquivalence.functor_map_hom_appstatement and proof · cited by 0
- CategoryTheory.Localization.Construction.WhiskeringLeftEquivalence.functor_obj_obj_mapstatement and proof · cited by 0
- CategoryTheory.Localization.Construction.WhiskeringLeftEquivalence.functor_obj_obj_objstatement and proof · cited by 0
- CategoryTheory.Localization.Construction.whiskeringLeftEquivalenceproof · cited by 0
- CategoryTheory.Localization.Construction.WhiskeringLeftEquivalence.unitIso_homstatement · cited by 0
- CategoryTheory.Localization.Construction.WhiskeringLeftEquivalence.unitIso_invstatement · cited by 0