Theorems · Definition · category theory

CategoryTheory.Localization.Construction.whiskeringLeftEquivalence

{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 W.Localization D ≌ W.FunctorsInverting D

The equivalence of categories (W.Localization ⥤ D) ≌ (W.FunctorsInverting D) induced by the composition with W.Q : C ⥤ W.Localization.

Defined in

Mathlib.CategoryTheory.Localization.Construction

Cited by

0 results in Mathlib

Foundations

Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category