lean_workbook_plus_22268

import Mathlib.Analysis.Complex.Basic

theorem lean_workbook_plus_22268 : ∀ a b c : ℝ, (a * b + b * c + c * a) * (a ^ 2 + b ^ 2 + c ^ 2 + a + b + c) ≤ 6 * (a ^ 2 + b ^ 2 + c ^ 2)   :=  by sorry