∀ {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} (f g : X ⟶ Y)
  (L : CategoryTheory.Functor C D) [L.IsLocalization W],
  L.map f = L.map g → CategoryTheory.AreEqualizedByLocalization W f g