lean_workbook_plus_12947

Proved

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

Given the expression $n*(n-1)*(n-2)$ , prove that it is divisible by 3 for $n \geq 3$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_12947 (n : ℕ) (h₁ : n ≥ 3) : 3 ∣ n * (n - 1) * (n - 2)   :=  by sorry

Source