lean_workbook_plus_82030

Disproved

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

Prove $(a+b+c)(\frac{a^2}{b}+ \frac{b^2}{c}+ \frac{c^2}{a}) \ge 3(a^2+b^2+c^2)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_82030 : ∀ a b c : ℝ, (a + b + c) * (a^2 / b + b^2 / c + c^2 / a) ≥ 3 * (a^2 + b^2 + c^2)   :=  by sorry

Source