Sort u_1 →
  {C : Type u} →
    [inst : CategoryTheory.Category.{v, u} C] →
      {P : CategoryTheory.ObjectProperty C} →
        P.FullSubcategory →
          {C' : Type u} →
            [inst' : CategoryTheory.Category.{v, u} C'] →
              {P' : CategoryTheory.ObjectProperty C'} → P'.FullSubcategory → Sort u_1