∀ (R : Type u_2) (S : Type u_1) [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S]
  [inst_3 : Algebra.FinitePresentation R S], Nonempty (Algebra.Presentation R S (Fin ⋯.choose) (Fin ⋯.choose))