lean_workbook_plus_72487

Proved

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

Prove that for all positive real numbers $a$ , $a^3 + 2 \geq 3a$ using the Arithmetic Mean-Geometric Mean (AM-GM) inequality.

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_72487 (a : ℝ) (ha : 0 < a) : a^3 + 2 ≥ 3*a   :=  by sorry

Source