lean_workbook_plus_1881

Proved

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

Let $a,b>0$ and $a+b=a^2+b^2$ . Prove that, \n\n

a+b\leq a^2+b^2

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_1881 (a b : ℝ) (hab : a > 0 ∧ b > 0) (h : a + b = a^2 + b^2) : a + b ≤ a^2 + b^2   :=  by sorry

Source