lean_workbook_plus_23108

Proved

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

Let $a,b\geq 0$ and $(a^2+2)(a+b^3+1)\leq 9.$ Prove that \n

a+b\leq 2

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_23108 (a b : ℝ) (ha : 0 ≤ a) (hb : 0 ≤ b)  (h : (a^2 + 2) * (a + b^3 + 1) ≤ 9) : a + b ≤ 2   :=  by sorry

Source