lean_workbook_plus_487

Proved

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

If $a,b>0$ and $a^9+b^9=2$ Then prove $\frac{a^2}{b}+\frac{b^2}{a}\geq2$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_487 (a b : ℝ) (ha : 0 < a) (hb : 0 < b) (hab : a * b = 1) (h : a^9 + b^9 = 2) : a^2 / b + b^2 / a ≥ 2   :=  by sorry

Source