lean_workbook_plus_30307

Proved

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

Let $a,b$ be positive real numbers. Prove that $ab(a^2+b^2-2)\geq (a+b)(ab-1).$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_30307 : ∀ a b : ℝ, a > 0 ∧ b > 0 → a * b * (a ^ 2 + b ^ 2 - 2) ≥ (a + b) * (a * b - 1)   :=  by sorry

Source