lean_workbook_plus_37906

Proved

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

Prove that $4u^2(27u^4-42u^2v^2+27v^4)(u^2-v^2)^2\geq0$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_37906 (u v : ℝ) : 4 * u ^ 2 * (27 * u ^ 4 - 42 * u ^ 2 * v ^ 2 + 27 * v ^ 4) * (u ^ 2 - v ^ 2) ^ 2 ≥ 0   :=  by sorry

Source