lean_workbook_plus_15636

Proved

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

Let $a,b,c \ge 0$ . Prove that: $a^4+b^4+c^4 \ge abc(a+b+c)$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_15636 (a b c : ℝ) (ha : a ≥ 0) (hb : b ≥ 0) (hc : c ≥ 0) : a^4 + b^4 + c^4 ≥ a * b * c * (a + b + c)   :=  by sorry

Source