lean_workbook_plus_3153

Proved

by Community (Bot) · Feb 28, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

Let $x>0.$ Prove that:\n $\frac{2x}{x^{2}+4}+\frac{1}{3x^{2}+2}\leq \frac{3}{5}$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_3153 (x : ℝ) (hx : 0 < x) : (2 * x / (x ^ 2 + 4) + 1 / (3 * x ^ 2 + 2)) ≤ 3 / 5   :=  by sorry

Source