lean_workbook_plus_58025

Proved

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

Prove that $\dfrac12 x^6 + \dfrac12 x^4y^4 \ge x^5y^2$ for positive $x, y$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_58025 (x y : ℝ) (hx : 0 < x) (hy : 0 < y) : 1 / 2 * x ^ 6 + 1 / 2 * x ^ 4 * y ^ 4 ≥ x ^ 5 * y ^ 2   :=  by sorry

Source