∀ {𝕜 : Type u_1} {E : Type u_3} [inst : NontriviallyNormedField 𝕜] [inst_1 : SeminormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] [CompleteSpace E] {s : Set (WeakDual 𝕜 E)},
  Bornology.IsBounded s ↔ Bornology.IsVonNBounded 𝕜 s