lean_workbook_plus_39538

Proved

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

Let $a,b$ be reals such that $a^2(a+b)=2 .$ Prove that \n\n $a^3+ab(a+b)+b^3\geq 2$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_39538 (a b : ℝ) (h : a^2 * (a + b) = 2) : a^3 + a * b * (a + b) + b^3 ≥ 2   :=  by sorry

Source