∀ (𝕜 : Type u_1) {E : Type u_3} [inst : NormedField 𝕜] [inst_1 : AddCommGroup E] [inst_2 : Module 𝕜 E]
  [inst_3 : TopologicalSpace E] [inst_4 : ContinuousSMul 𝕜 E] {s : Set E},
  Bornology.IsBounded s ↔ Bornology.IsVonNBounded 𝕜 s