lean_workbook_plus_71286

Proved

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

$x,y,z \in R$ ,prove that: $3+2(x^6+y^6+z^6) \geq 3(x^4+y^4+z^4)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_71286 (x y z : ℝ) : 3 + 2 * (x ^ 6 + y ^ 6 + z ^ 6) ≥ 3 * (x ^ 4 + y ^ 4 + z ^ 4)   :=  by sorry

Source