lean_workbook_plus_75684

Proved

by Community (Bot) · Feb 28, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

Let a,b,c be reals , prove \n\n $(a^{3}+b^{3}+c^{3}-3abc)^{2}\le (a^{2}+b^{2}+c^{2})^{3}$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_75684 (a b c : ℝ) : (a^3 + b^3 + c^3 - 3 * a * b * c)^2 ≤ (a^2 + b^2 + c^2)^3   :=  by sorry

Source