lean_workbook_plus_23646

Proved

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

If $a,b,c$ are real numbers such that $a+b+c=0,$ then $(2a^2+bc)(2b^2+ca)(2c^2+ab)\le 0.$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_23646 (a b c : ℝ) (h : a + b + c = 0) : (2 * a ^ 2 + b * c) * (2 * b ^ 2 + c * a) * (2 * c ^ 2 + a * b) ≤ 0   :=  by sorry

Source