∀ {E'' : Type u_9} {F'' : Type u_10} [inst : NormedAddCommGroup E''] [inst_1 : NormedAddCommGroup F''] {f : ℕ → E''}
  {g : ℕ → F''}, f =O[Filter.atTop] g → ∀ {l : Filter ℕ}, (∀ᶠ (n : ℕ) in l, g n = 0 → f n = 0) → f =O[l] g