lean_workbook_plus_35102

Proved

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

Prove that for $x \geq 0$ , $\sqrt{x} \leq \frac{1}{2}(x - 1) + 1$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_35102 (x : ℝ) (hx : 0 ≤ x) : √x ≤ (1 / 2) * (x - 1) + 1   :=  by sorry

Source