lean_workbook_plus_5763

Proved

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

For all real positive a, b, prove that $a^2b^2(a^2+b^2-2) \geq (a+b)(ab-1)$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_5763 (a b : ℝ) (ha : 0 < a) (hb : 0 < b) : a^2 * b^2 * (a^2 + b^2 - 2) ≥ (a + b) * (a * b - 1)   :=  by sorry

Source