lean_workbook_plus_55094

import Mathlib.Analysis.Complex.Basic

theorem lean_workbook_plus_55094 :  ∀ a b c : ℝ, a ≥ 0 ∧ b ≥ 0 ∧ c ≥ 0 ∧ a + b + c = 7 / 3 → (a * b + b * c + c * a + a * b * c) * (1 / (a + b) ^ 3 + 1 / (b + c) ^ 3 + 1 / (c + a) ^ 3) ≥ 51 / 28   :=  by sorry