lean_workbook_plus_43338

Proved

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

Prove that $2(a^2 + b^2)^2 \ge (a^2 - b^2)^2$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_43338 : ∀ a b : ℝ, 2 * (a ^ 2 + b ^ 2) ^ 2 ≥ (a ^ 2 - b ^ 2) ^ 2   :=  by sorry

Source