Theorems · Definition · category theory

CategoryTheory.MorphismProperty.LeftFraction.Localization.Qinv

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    {W : CategoryTheory.MorphismProperty C} →
      [inst_1 : W.HasLeftCalculusOfFractions] →
        {X Y : C} →
          (s : X ⟶ Y) →
            W s →
              ((CategoryTheory.MorphismProperty.LeftFraction.Localization.Q W).obj Y ⟶
                (CategoryTheory.MorphismProperty.LeftFraction.Localization.Q W).obj X)

The morphism in Localization W that is the formal inverse of a morphism which belongs to W.

Defined in

Mathlib.CategoryTheory.Localization.CalculusOfFractions

Cited by

9 results in Mathlib

Foundations

Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MorphismProperty.HasLeftCalculusOfFractions