{R : Type u_1} →
  (S : Type u_2) →
    [inst : CommRing R] →
      [inst_1 : CommRing S] →
        [IsDomain R] →
          [IsDomain S] →
            [inst_4 : Algebra R S] →
              {P : Ideal R} →
                [inst_5 : P.IsPrime] →
                  [FaithfulSMul R S] →
                    Algebra (Localization (Algebra.algebraMapSubmonoid S P.primeCompl)) (FractionRing S)