lean_workbook_plus_2797

import Mathlib.Analysis.Complex.Basic

theorem lean_workbook_plus_2797 (a b c : ℝ) : (5 / 3) * (a ^ 2 + b ^ 2 + c ^ 2) ^ 2 ≥ 2 * (a ^ 3 * b + b ^ 3 * c + c ^ 3 * a) + 3 * (a * b ^ 3 + b * c ^ 3 + c * a ^ 3)   :=  by sorry