lean_workbook_plus_63318

Proved

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

Use the Principal of Mathematical Induction to prove that $(n+1)(n+2)(n+3)$ is divisible by $6$ for all positive integers $n$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_63318 (n : ℕ) : 6 ∣ (n + 1) * (n + 2) * (n + 3)   :=  by sorry

Source