lean_workbook_plus_10325

Disproved

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

$(a+b)\left(a^3+b^3\right)^2\ge \left(a^2+b^2\right)^2\left(a^3+b^3\right)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_10325 : ∀ a b : ℝ, (a + b) * (a ^ 3 + b ^ 3) ^ 2 ≥ (a ^ 2 + b ^ 2) ^ 2 * (a ^ 3 + b ^ 3)   :=  by sorry

Source