∀ {R : Type v} [inst : CommRing R] {A : Type u} [inst_1 : CommRing A] [inst_2 : Algebra R A] [Small.{w, u} A],
  Algebra.FormallyUnramified R A ↔
    ∀ ⦃B : Type w⦄ [inst_4 : CommRing B] [inst_5 : Algebra R B] (I : Ideal B),
      I ^ 2 = ⊥ → Function.Injective (Ideal.Quotient.mkₐ R I).comp