∀ {R : Type u_1} {S : Type u_3} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] {f : S},
  HasStandardEtaleSurjectionOn R f →
    ∀ [Algebra.Etale R (Localization.Away f)], Algebra.IsStandardEtale R (Localization.Away f)