∀ {R : Type u_2} (S : Type u_1) [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] {P : Ideal R}
  [inst_3 : P.IsPrime],
  IsLocalization (Algebra.algebraMapSubmonoid S P.primeCompl)
    (Localization (Algebra.algebraMapSubmonoid S P.primeCompl))