no goals
α : Type u_1
x y z : ℝ
l : Filter α
f g : α → ℝ
⊢ (IsBoundedUnder (fun x x_1 => x ≤ x_1) l fun x => ‖exp (f x)‖ / ‖exp (g x)‖) ↔
    IsBoundedUnder (fun x x_1 => x ≤ x_1) l (f - g)
simp only [norm_eq_abs, abs_exp, ← exp_sub, isBoundedUnder_le_exp_comp, Pi.sub_def]