∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : MeasurableSpace E] {μ : MeasureTheory.Measure E}
  [inst_2 : InnerProductSpace ℝ E]
  (motive :
    (∃ m f,
        f.toBilinForm.IsPosSemidef ∧
          ∀ (t : E), MeasureTheory.charFun μ t = Complex.exp (↑(inner ℝ t m) * Complex.I - ↑((f t) t) / 2)) →
      Prop)
  (x :
    ∃ m f,
      f.toBilinForm.IsPosSemidef ∧
        ∀ (t : E), MeasureTheory.charFun μ t = Complex.exp (↑(inner ℝ t m) * Complex.I - ↑((f t) t) / 2)),
  (∀ (m : E) (f : E →L[ℝ] E →L[ℝ] ℝ) (hf : f.toBilinForm.IsPosSemidef)
      (h : ∀ (t : E), MeasureTheory.charFun μ t = Complex.exp (↑(inner ℝ t m) * Complex.I - ↑((f t) t) / 2)),
      motive ⋯) →
    motive x