∀ {𝕜 : Type u_1} {α : Type u_2} [inst : Field 𝕜] [inst_1 : LinearOrder 𝕜] [IsStrictOrderedRing 𝕜]
  [inst_3 : TopologicalSpace 𝕜] [OrderTopology 𝕜] {l : Filter α} {f g : α → 𝕜} {b B : 𝕜},
  (∀ᶠ (x : α) in l, b ≤ f x) →
    (∀ᶠ (x : α) in l, f x ≤ B) → Filter.Tendsto g l (nhds 0) → Filter.Tendsto (fun x => f x * g x) l (nhds 0)