lean_workbook_plus_36323

Proved

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

Prove that for all real numbers $a,b,c$ $(a^4+b^4+c^4) \ge max((a^3b+b^3c+c^3a),(ab^3+bc^3+ca^3))$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_36323 (a b c : ℝ) : (a^4+b^4+c^4) ≥ max (a^3*b+b^3*c+c^3*a) (a*b^3+b*c^3+c*a^3)   :=  by sorry

Source