lean_workbook_plus_76551

Proved

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

Let $a,b$ be nonnegative real numbers such that $a^2+b^2 = a^5+b^5$ . Prove that $a^2+b^2\le 2 .$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_76551 (a b : ℝ) (ha : 0 ≤ a) (hb : 0 ≤ b) (hab : a^2 + b^2 = a^5 + b^5) : a^2 + b^2 ≤ 2   :=  by sorry

Source