Theorems · Inductive type · category theory

CategoryTheory.Functor.IsLocalization

{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] →
        CategoryTheory.Functor C D → CategoryTheory.MorphismProperty C → Prop

The predicate expressing that, up to equivalence, a functor L : C ⥤ D identifies the category D with the localized category of C with respect to W : MorphismProperty C.

Defined in

Mathlib.CategoryTheory.Localization.Predicate

Cited by

432 results in Mathlib

Foundations

Depth 3 from the axioms, rests on 9 definitions · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.Category