lean_workbook_plus_9610

Proved

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

Let $a,b$ be real numbers such that $a(a+1)^2+b(b+1)^2=8$ . Prove that\n

a+b\leq 2

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_9610 (a b : ℝ) (h : a * (a + 1) ^ 2 + b * (b + 1) ^ 2 = 8) : a + b ≤ 2   :=  by sorry

Source