∀ {S : Type u_3} [inst : CommSemiring S] {B : Type u_1} [inst_1 : Ring B] [inst_2 : TopologicalSpace B]
  [inst_3 : Algebra S B] {C : Type u_2} [inst_4 : Ring C] [inst_5 : TopologicalSpace C] [inst_6 : Algebra S C]
  (f : B →A[S] C), Continuous ⇑f