∀ {R : Type u} {S : Type v} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] {I : Type u_1}
  (f f_1 : MvPolynomial I R →ₐ[R] S) (e_f : f = f_1) (h : Function.Surjective ⇑f),
  Algebra.Generators.ofAlgHom f h = Algebra.Generators.ofAlgHom f_1 ⋯