lean_workbook_plus_16507

Proved

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

Show that $2(a^{2}+b^{2})^{2}\geq (a^{2}+b^{2})(a+b)^{2}$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_16507 : ∀ a b : ℝ, 2 * (a ^ 2 + b ^ 2) ^ 2 ≥ (a ^ 2 + b ^ 2) * (a + b) ^ 2   :=  by sorry

Source