Theorems · Definition · category theory

CategoryTheory.MorphismProperty.LeftFraction.Localization.StrictUniversalPropertyFixedTarget.lift

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    {W : CategoryTheory.MorphismProperty C} →
      [inst_1 : W.HasLeftCalculusOfFractions] →
        {E : Type u_3} →
          [inst_2 : CategoryTheory.Category.{v_3, u_3} E] →
            (F : CategoryTheory.Functor C E) →
              W.IsInvertedBy F → CategoryTheory.Functor (CategoryTheory.MorphismProperty.LeftFraction.Localization W) E

The functor Localization W ⥤ E that is induced by a functor C ⥤ E which inverts W, when W has a left calculus of fractions.

Defined in

Mathlib.CategoryTheory.Localization.CalculusOfFractions

Cited by

1 results in Mathlib

Foundations

Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MorphismProperty.HasLeftCalculusOfFractionsCategoryTheory.Category