{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    {W₁ W₂ : CategoryTheory.MorphismProperty C} →
      (data : W₁.FunctorialFactorizationData W₂) →
        {X Y X' Y' : C} →
          {f : X ⟶ Y} →
            {g : X' ⟶ Y'} →
              (CategoryTheory.Arrow.mk f ⟶ CategoryTheory.Arrow.mk g) →
                ((data.factorizationData f).Z ⟶ (data.factorizationData g).Z)