∀ {R : Type u_1} {A : Type u_2} [inst : CommRing R] [inst_1 : CommRing A] [inst_2 : Algebra R A] {S : Type u_3}
  [inst_3 : CommRing S] [inst_4 : Algebra R S] [Algebra.FormallySmooth R A] {I : Ideal S} (f : A →ₐ[R] S ⧸ I),
  ∃ g, (AlgHom.restrictScalars R (AdicCompletion.evalOneₐ I)).comp g = f