Sort u →
  {C : Type u_1} →
    [inst : CategoryTheory.Category.{v_1, u_1} C] →
      {W₁ W₂ : CategoryTheory.MorphismProperty C} →
        W₁.FunctorialFactorizationData W₂ →
          {C' : Type u_1} →
            [inst' : CategoryTheory.Category.{v_1, u_1} C'] →
              {W₁' W₂' : CategoryTheory.MorphismProperty C'} → W₁'.FunctorialFactorizationData W₂' → Sort u