lean_workbook_plus_63584

Disproved

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

prove the lemma : $x_1+x_2 \le 2\sqrt{x_1x_2+1} \le x_1+x_2+2$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_63584 : ∀ x1 x2 : ℝ, x1 + x2 ≤ 2 * Real.sqrt (x1 * x2 + 1) ∧ 2 * Real.sqrt (x1 * x2 + 1) ≤ x1 + x2 + 2   :=  by sorry

Source