Theorems · Definition · category theory

CategoryTheory.MorphismProperty.LeftFraction.map

{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] →
        {W : CategoryTheory.MorphismProperty C} →
          {X Y : C} → W.LeftFraction X Y → (L : CategoryTheory.Functor C D) → W.IsInvertedBy L → (L.obj X ⟶ L.obj Y)

If φ : W.LeftFraction X Y and L is a functor which inverts W, this is the induced morphism L.obj X ⟶ L.obj Y

Defined in

Mathlib.CategoryTheory.Localization.CalculusOfFractions

Cited by

43 results in Mathlib

Foundations

Depth 9 from the axioms · uses Classical.choice

Assumes

CategoryTheory.CategoryCategoryTheory.Category