Sort u →
  {A : Type u_1} →
    [inst : CommSemiring A] →
      {I : Ideal A} →
        {hI : DividedPowers I} →
          hI.SubDPIdeal →
            {A' : Type u_1} →
              [inst' : CommSemiring A'] → {I' : Ideal A'} → {hI' : DividedPowers I'} → hI'.SubDPIdeal → Sort u