lean_workbook_plus_72510

Proved

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

Prove that $(x^4+y^4+z^4)^2\geq (x^2+y^2+z^2)(x^2y^4+y^2z^4+z^2x^4)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_72510 (x y z : ℝ) : (x ^ 4 + y ^ 4 + z ^ 4) ^ 2 ≥ (x ^ 2 + y ^ 2 + z ^ 2) * (x ^ 2 * y ^ 4 + y ^ 2 * z ^ 4 + z ^ 2 * x ^ 4)   :=  by sorry

Source

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

View graph