lean_workbook_plus_28770

Open

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

For any positive numbers $x$ and $y$ such that $x \geq y$ , we have $x^x y^y \geq x^y y^x$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_28770 (x y : ℝ) (hx : 0 < x) (hy : 0 < y) (hxy : x ≥ y) : x^x * y^y ≥ x^y * y^x   :=  by sorry

Source