lean_workbook_plus_9733

Proved

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

I claim that $x^4 + y^4 + z^4 + 2x^2y^2 + 2y^2z^2 + 2z^2x^2 \ge 3xyz(x + y + z)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_9733 (x y z : ℝ) : (x^4 + y^4 + z^4 + 2 * x^2 * y^2 + 2 * y^2 * z^2 + 2 * z^2 * x^2) ≥ 3 * x * y * z * (x + y + z)   :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook

View graph