lean_workbook_plus_40215

Proved

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

Prove that $(x^3+y^3+z^3)^2\geq3(x^3y^3+x^3z^3+y^3z^3)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_40215 (x y z : ℝ) : (x ^ 3 + y ^ 3 + z ^ 3) ^ 2 ≥ 3 * (x ^ 3 * y ^ 3 + x ^ 3 * z ^ 3 + y ^ 3 * z ^ 3)   :=  by sorry

Source