lean_workbook_plus_55719

import Mathlib.Analysis.Complex.Basic

theorem lean_workbook_plus_55719 {a b c : ℝ} : a ^ 4 + b ^ 4 + c ^ 4 + a * b * c * (a + b + c) ≥ a ^ 3 * b + a ^ 3 * c + b ^ 3 * a + b ^ 3 * c + c ^ 3 * a + c ^ 3 * b   :=  by sorry