lean_workbook_plus_9587

Proved

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

Given $f(x,y,z) = xy$ , prove that $V = x^4y^2z^2 - x^3y^3z^2 - y^3z^3x^2 + y^2z^4x^2 + x^2y^4z^2 - x^3y^2z^3 \geq 0$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_9587 (x y z : ℝ) : x ^ 4 * y ^ 2 * z ^ 2 - x ^ 3 * y ^ 3 * z ^ 2 - y ^ 3 * z ^ 3 * x ^ 2 + y ^ 2 * z ^ 4 * x ^ 2 + x ^ 2 * y ^ 4 * z ^ 2 - x ^ 3 * y ^ 2 * z ^ 3 ≥ 0   :=  by sorry

Source

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

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