lean_workbook_plus_51749

Proved

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

Prove that if $x$ and $y$ are positive real numbers that $(x^4 + y^4)(x^2 + y^2) \geq 2x^3y^3$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_51749 (x y : ℝ) (hx : 0 < x) (hy : 0 < y) : (x^4 + y^4) * (x^2 + y^2) ≥ 2 * x^3 * y^3   :=  by sorry

Source