lean_workbook_plus_9170

Proved

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

Prove that $2\sqrt{3(a^6+b^6+c^6)} \ge 2(a^3+b^3+c^3)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_9170 (a b c : ℝ) : 2 * Real.sqrt (3 * (a ^ 6 + b ^ 6 + c ^ 6)) ≥ 2 * (a ^ 3 + b ^ 3 + c ^ 3)   :=  by sorry

Source