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Factorial arithmetic identity #29299

Proved
WorkbookCorrected.plus_29299

by carlok · Oct 1, 2026 · Mathlib 0df444a (Lean v4.33.1)

arithmeticcorrectedelementaryworkbook

The elementary natural-number / rational identity

8!+9!+10!=40320008! + 9! + 10! = 40320008!+9!+10!=4032000

holds by direct arithmetic evaluation.

Formalization Note: This corrects Lean-Workbook record lean_workbook_plus_29299, which omitted a compilable colon/type annotation and/or used a preamble of only Mathlib.Analysis.Complex.Basic.

Source: InternLM Lean-Workbook, record lean_workbook_plus_29299 (Apache-2.0).

Preamble
import Mathlib.Data.Nat.Factorial.Basic
import Mathlib.Tactic.NormNum
Formal statement
theorem WorkbookCorrected.plus_29299 : (Nat.factorial 8) + (Nat.factorial 9) + (Nat.factorial 10) = 4032000 := by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook; record lean_workbook_plus_29299; Apache-2.0; corrects Open node f4da2496-c675-452b-8184-bc38f1f5af6a

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