lean_workbook_plus_41710

Proved

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

Prove that $\sqrt{x^{2}-3} \leq 2x-3$ for $x \geq \sqrt{3}$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_41710 (x : ℝ) (hx : x ≥ Real.sqrt 3) : Real.sqrt (x ^ 2 - 3) ≤ 2 * x - 3   :=  by sorry

Source