∀ {n : ℕ} {R : Type u} {S : Type v} {ι : Type w} {σ : Type t} [inst : CommRing R] [inst_1 : CommRing S]
  [inst_2 : Algebra R S] [inst_3 : Finite σ] [Finite ι] (P : Algebra.SubmersivePresentation R S ι σ),
  P.dimension = n → Algebra.IsStandardSmoothOfRelativeDimension n R S