lean_workbook_plus_40513

Disproved

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

Prove that $4(a^2+a+1)^2(a^3+3a+2)\geq(a^2+1)(a+1)^2(a+2)^3$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_40513 : ∀ a : ℝ, 4 * (a ^ 2 + a + 1) ^ 2 * (a ^ 3 + 3 * a + 2) ≥ (a ^ 2 + 1) * (a + 1) ^ 2 * (a + 2) ^ 3   :=  by sorry

Source