{𝕜 : Type u_1} →
  {F : Type u_3} →
    [inst : RCLike 𝕜] →
      [inst_1 : AddCommGroup F] →
        [inst_2 : Module 𝕜 F] →
          [cd : InnerProductSpace.Core 𝕜 F] →
            [tF : TopologicalSpace F] →
              [IsTopologicalAddGroup F] →
                [ContinuousConstSMul 𝕜 F] →
                  ContinuousAt (fun v => inner 𝕜 v v) 0 →
                    Bornology.IsVonNBounded 𝕜 {v | RCLike.re (inner 𝕜 v v) < 1} → NormedAddCommGroup F