lean_workbook_plus_42055

Proved

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

Let $a>b>c$ be real numbers. Prove that $a^{2}(b-c)+b^{2}(c-a)+c^{2}(a-b)>0$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_42055 (a b c : ℝ) (hx: a > b ∧ b > c) : a^2 * (b - c) + b^2 * (c - a) + c^2 * (a - b) > 0   :=  by sorry

Source