lean_workbook_plus_29519

Proved

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

Let $x,y,z>0$ , Prove \n\n $\sum_{cyc}x^3y^3\geq \sum_{cyc}x^3y^2z$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_29519 (x y z : ℝ) (hx : 0 < x) (hy : 0 < y) (hz : 0 < z) : x^3 * y^3 + y^3 * z^3 + z^3 * x^3 >= x^3 * y^2 * z + y^3 * z^2 * x + z^3 * x^2 * y   :=  by sorry

Source

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

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