∀ {R : Type u_1} {S : Type u_2} {A : Type u_3} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Ring A]
  [inst_3 : Algebra R S] [inst_4 : Algebra R A] (s : S) {a : A},
  IsAlgebraic R a → ∀ [FaithfulSMul R S], IsAlgebraic S (s ⊗ₜ[R] a)