∀ {f g : ℝ → ℝ},
  AkraBazziRecurrence.GrowsPolynomially f →
    AkraBazziRecurrence.GrowsPolynomially g →
      0 ≤ᶠ[Filter.atTop] f → 0 ≤ᶠ[Filter.atTop] g → AkraBazziRecurrence.GrowsPolynomially fun x => f x + g x