Lean-Workbook Plus 62454: Factorial and power inequality

Proved

WorkbookRestored.plus_62454

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

lean-workbookrestored-importssource-checked

$77^{10}\ge 2^{10}(10!)^2$ .

Source: Lean-Workbook row lean_workbook_plus_62454 (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
open Nat

Formal statement

theorem WorkbookRestored.plus_62454 : 77 ^ 10 ≥ 2 ^ 10 * (10!) ^ 2   :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, row lean_workbook_plus_62454; immutable original Prove2Me node ca92edfa-7a8a-475d-a819-1c584707d422

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