lean_workbook_plus_79750

Proved

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

Prove that $a^4 + b^4 + c^4 \geq abc(a+b+c)$ given $a,b,c>0$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_79750 (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