Theorems · Definition · category theory

CategoryTheory.MorphismProperty.LeftFraction.Localization.strictUniversalPropertyFixedTarget

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    (W : CategoryTheory.MorphismProperty C) →
      [inst_1 : W.HasLeftCalculusOfFractions] →
        (E : Type u_4) →
          [inst_2 : CategoryTheory.Category.{v_4, u_4} E] →
            CategoryTheory.Localization.StrictUniversalPropertyFixedTarget
              (CategoryTheory.MorphismProperty.LeftFraction.Localization.Q W) W E

The universal property of the localization for the constructed localized category when there is a left calculus of fractions.

Defined in

Mathlib.CategoryTheory.Localization.CalculusOfFractions

Cited by

0 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MorphismProperty.HasLeftCalculusOfFractionsCategoryTheory.Category