∀ {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] (L : CategoryTheory.Functor C D)
  (W : CategoryTheory.MorphismProperty C) [inst_2 : L.IsLocalization W] [W.HasLeftCalculusOfFractions] {X Y : C}
  (f f' f'' : L.obj X ⟶ L.obj Y), ∃ φ, f = φ.fst.map L ⋯ ∧ f' = φ.snd.map L ⋯ ∧ f'' = φ.thd.map L ⋯