lean_workbook_plus_44726

Disproved

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

Prove that $xz^5+x^5y+y^5z\geq \frac{1}{3}(xy^2+yz^2+x^2z)^2$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_44726 : ∀ x y z : ℝ, x * z ^ 5 + x ^ 5 * y + y ^ 5 * z ≥ (1 / 3) * (x * y ^ 2 + y * z ^ 2 + x ^ 2 * z) ^ 2   :=  by sorry

Source