∀ {R : Type u_1} (S : Type u_2) (T : Type u_3) [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : CommRing T]
  [IsDomain R] [IsDomain T] [inst_5 : Algebra R S] {P : Ideal R} [inst_6 : P.IsPrime] [inst_7 : Algebra S T]
  [inst_8 : Algebra R T] [inst_9 : IsScalarTower R S T] [Module.IsTorsionFree R T],
  IsScalarTower (Localization.AtPrime P) (Localization (Algebra.algebraMapSubmonoid S P.primeCompl))
    (Localization (Algebra.algebraMapSubmonoid T P.primeCompl))