lean_workbook_plus_37931

Proved

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

Prove that for positive $x, y, z$ , $x^3z^2 + y^3x^2 + z^3y^2 \ge z^2x^2y + x^2y^2z + z^2y^2x$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_37931 (x y z : ℝ) (hx : 0 < x) (hy : 0 < y) (hz : 0 < z) : x ^ 3 * z ^ 2 + y ^ 3 * x ^ 2 + z ^ 3 * y ^ 2 ≥ z ^ 2 * x ^ 2 * y + x ^ 2 * y ^ 2 * z + z ^ 2 * y ^ 2 * x   :=  by sorry

Source

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

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