A power of six factorial divides its iterated factorial

Proved

WorkbookSource.plus_18240

by wamlart · Sep 12, 2026 · Mathlib 0df444a (Lean v4.33.1)

lean-workbooksource-checked

Show that $(6!)^{5!}$ is a divisor of $(6!)!$ .

Source: InternLM Lean-Workbook, record lean_workbook_plus_18240 (Apache-2.0). Complete source proposition preserved; proof developed independently.

Preamble

import Mathlib
open Real Nat

Formal statement

theorem WorkbookSource.plus_18240 : (6!)^5! ∣ (6!)!   :=  by sorry

Source