∀ {𝕜 : Type u_2} {E : Type u_6} {ι : Type u_9} [inst : NormedField 𝕜] [inst_1 : AddCommGroup E] [inst_2 : Module 𝕜 E]
  [inst_3 : TopologicalSpace E] {p : SeminormFamily 𝕜 E ι}, WithSeminorms p → ContinuousSMul 𝕜 E