lean_workbook_plus_46461

Proved

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

Let $a,b > 0$ ,Prove that: $2(a^2 - a + 1)(b^3 + 1) \ge (a^2 + b)(b^2 + 1)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_46461 (a b : ℝ) (ha : 0 < a) (hb : 0 < b) : 2 * (a^2 - a + 1) * (b^3 + 1) ≥ (a^2 + b) * (b^2 + 1)   :=  by sorry

Source