lean_workbook_plus_68739

Proved

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

Prove that the inequality \n $(a^2 + 3)(b^2 + 3) \geq 8(a + b)$ \n holds for all positive reals $a$ and $b$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_68739 (a b : ℝ) (ha : 0 < a) (hb : 0 < b) : (a^2 + 3) * (b^2 + 3) ≥ 8 * (a + b)   :=  by sorry

Source