lean_workbook_plus_44052

Proved

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

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

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_44052 (x y : ℝ) (hx : 0 < x) (hy : 0 < y) : (1 / 2) * y ^ 6 + (1 / 2) * x ^ 2 * y ^ 2 ≥ x * y ^ 4   :=  by sorry

Source