lean_workbook_plus_50554

Proved

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

Prove the inequality $a+1 \geq 2\sqrt{a}$ using the Arithmetic Mean-Geometric Mean (AM-GM) inequality.

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_50554 (a : ℝ) (ha : a ≥ 0) : a + 1 ≥ 2 * Real.sqrt a   :=  by sorry

Source