lean_workbook_plus_34765

import Mathlib.Analysis.Complex.Basic

theorem lean_workbook_plus_34765 : ∀ a b c : ℝ, a ^ 4 + b ^ 4 + c ^ 4 ≥ a ^ 2 * b ^ 2 + b ^ 2 * c ^ 2 + c ^ 2 * a ^ 2 ∧ a ^ 2 * b ^ 2 + b ^ 2 * c ^ 2 + c ^ 2 * a ^ 2 ≥ a * b * c * (a + b + c)   :=  by sorry