Lean-Workbook Plus 54971: Factorial congruence modulo 437

Proved

WorkbookRestored.plus_54971

by wamlart · Sep 12, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

lean-workbookrestored-importssource-checked

$18!\equiv -1\pmod{437}$ .

Source: Lean-Workbook row lean_workbook_plus_54971 (Apache-2.0). The unchanged proposition comes from the original record; its missing mathematical imports and namespaces are restored here.

Preamble

import Mathlib.Data.Nat.Factorial.Basic
import Mathlib.Data.Int.ModEq
open Nat

Formal statement

theorem WorkbookRestored.plus_54971 : 18! ≡ -1 [ZMOD 437]   :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, row lean_workbook_plus_54971; immutable original Prove2Me node 5f255e6f-1041-4674-a712-82c72b2c6b50

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