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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.

Defined in
Mathlib.CategoryTheory.Localization.Construction
Cited by
7 results in Mathlib
Foundations
Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.Category

Around this declaration

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

CategoryTheory.Localization.Construction.WhiskeringLeftEquivalence.counitIso · cited by 2WhiskeringLeftEquivalence…CategoryTheory.Localization.Construction.WhiskeringLeftEquivalence.unitIso · cited by 2WhiskeringLeftEquivalence…CategoryTheory.Localization.Construction.WhiskeringLeftEquivalence.counitIso_hom · cited by 0WhiskeringLeftEquivalence…CategoryTheory.Localization.Construction.WhiskeringLeftEquivalence.counitIso_inv · cited by 0WhiskeringLeftEquivalence…CategoryTheory.Localization.Construction.WhiskeringLeftEquivalence.functor_map_hom_app · cited by 0WhiskeringLeftEquivalence…CategoryTheory.Localization.Construction.WhiskeringLeftEquivalence.functor_obj_obj_map · cited by 0WhiskeringLeftEquivalence…CategoryTheory.Localization.Construction.WhiskeringLeftEquivalence.functor_obj_obj_obj · cited by 0WhiskeringLeftEquivalence…CategoryTheory.Localization.Construction.whiskeringLeftEquivalence · cited by 0Construction.whiskeringLe…CategoryTheory.Localization.Construction.WhiskeringLeftEquivalence.unitIso_hom · cited by 0WhiskeringLeftEquivalence…CategoryTheory.Localization.Construction.WhiskeringLeftEquivalence.unitIso_inv · cited by 0WhiskeringLeftEquivalence…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.MorphismProperty · cited by 2179CategoryTheory.MorphismPr…CategoryTheory.Functor.whiskeringLeft · cited by 395Functor.whiskeringLeftCategoryTheory.MorphismProperty.IsInvertedBy · cited by 118MorphismProperty.IsInvert…CategoryTheory.MorphismProperty.Q · cited by 98MorphismProperty.QCategoryTheory.MorphismProperty.Localization · cited by 72MorphismProperty.Localiza…CategoryTheory.ObjectProperty.lift · cited by 33ObjectProperty.liftCategoryTheory.MorphismProperty.FunctorsInverting · cited by 18MorphismProperty.Functors…WhiskeringLeftEquivalence.fun…CITED BYCITES

Cites10

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Cited by10

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