lean_workbook_plus_56168

Proved

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

Let $a, b$ and $c$ be integers such that $a + b + c = 0$ . Show that $a^4 + b^4 + c^4$ is divisible by $a^2 + b^2 + c^2$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_56168 {a b c : ℤ} (h : a + b + c = 0) : (a^2 + b^2 + c^2) ∣ (a^4 + b^4 + c^4)   :=  by sorry

Source