lean_workbook_plus_23944

Proved

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

Let $x,y,z\geq 0$ ,prove that: $(x^4+y^4+z^4)(x^2y^2+y^2z^2+z^2x^2)\geq (xy^3+yz^3+x^3z)^2.$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_23944 (x y z : ℝ) : (x^4 + y^4 + z^4) * (x^2 * y^2 + y^2 * z^2 + z^2 * x^2) ≥ (x * y^3 + y * z^3 + x^3 * z)^2   :=  by sorry

Source

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

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