lean_workbook_plus_27267

Proved

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

It's $(a-b)^2(a^2+4b^2)(a^2+2ab+2b^2)\geq0$ , which is obvious.

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_27267 (a b : ℝ) : (a - b) ^ 2 * (a ^ 2 + 4 * b ^ 2) * (a ^ 2 + 2 * a * b + 2 * b ^ 2) ≥ 0   :=  by sorry

Source