∀ {E : Type u_1} [inst : NormedAddCommGroup E] {mE : MeasurableSpace E} {μ : MeasureTheory.Measure E}
  [inst_1 : NormedSpace ℝ E] [inst_2 : BorelSpace E],
  ¬MeasureTheory.MemLp (fun x => x - ∫ (y : E), y ∂μ) 2 μ →
    ∀ (L₁ L₂ : StrongDual ℝ E), ((ProbabilityTheory.covarianceBilinDual μ) L₁) L₂ = 0