∀ (R : Type u_1) (S : Type u_2) [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] [Algebra.Smooth R S],
  ∃ s, Ideal.span s = ⊤ ∧ ∀ x ∈ s, Algebra.IsStandardSmooth R (Localization.Away x)