(R : Type u_1) →
  (S : Type u_2) →
    [inst : CommRing R] →
      [inst_1 : CommRing S] →
        [inst_2 : IsDomain R] →
          [inst_3 : IsDomain S] →
            [inst_4 : Algebra R S] →
              [inst_5 : Module.IsTorsionFree R S] →
                Algebra (Ring.NormalClosure R S)
                  ↥(IntermediateField.normalClosure (FractionRing R) (FractionRing S)
                      (AlgebraicClosure (FractionRing S)))