lean_workbook_plus_32451

Proved

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

Prove that $(x-y)^{5} + (y-z)^{5} + (z-x)^{5}$ is divisible by $5(x-y)(y-z)(z-x)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_32451 {x y z : ℤ} : 5 * (x - y) * (y - z) * (z - x) ∣ (x - y) ^ 5 + (y - z) ^ 5 + (z - x) ^ 5   :=  by sorry

Source