apply mul_le_mul le_rfl (hh_le _ _ (by positivity)) (by positivity) (by positivity) |>.trans (le_of_eq ?_)
n✝ : ℕ
A a b c d u x✝ y t σ' : ℝ
ψ Ψ : ℝ → ℂ
F G : ℂ → ℂ
f : ℕ → ℂ
𝕜 : Type
inst✝ : _root_.RCLike 𝕜
x : ℝ
hx : 0 < x
n : ℕ
⊢ |x⁻¹| * |hh (π⁻¹ * 2⁻¹) (↑n / x)| ≤ (↑n)⁻¹
n✝ : ℕ
A a b c d u x✝ y t σ' : ℝ
ψ Ψ : ℝ → ℂ
F G : ℂ → ℂ
f : ℕ → ℂ
𝕜 : Type
inst✝ : _root_.RCLike 𝕜
x : ℝ
hx : 0 < x
n : ℕ
⊢ |x⁻¹| * (↑n / x)⁻¹ = (↑n)⁻¹