lean_workbook_plus_3087

Proved

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

If $x,y,z>0$ P.T\n $x^4z^2+y^4x^2+z^4y^2\geq xyz(x^2z+y^2x+z^2y)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_3087 (x y z : ℝ) (hx : 0 < x) (hy : 0 < y) (hz : 0 < z) : x ^ 4 * z ^ 2 + y ^ 4 * x ^ 2 + z ^ 4 * y ^ 2 ≥ x * y * z * (x ^ 2 * z + y ^ 2 * x + z ^ 2 * y)   :=  by sorry

Source

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

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