lean_workbook_plus_5215

Disproved

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

Let $x>0.$ Prove that $x+\frac{2}{x}-\frac{1}{x+1}\geq \sqrt{9+6\sqrt{3}}$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_5215 : ∀ x : ℝ, x > 0 → x + 2 / x - 1 / (x + 1) ≥ Real.sqrt (9 + 6 * Real.sqrt 3)   :=  by sorry

Source