Comparing a large power and a factorial

Proved

WorkbookSource.problem_56488

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

lean-workbooksource-checked

Which is greater ? $50^{100} \text{ or } 100!$

Source: InternLM Lean-Workbook, record lean_workbook_56488 (Apache-2.0). The complete source proposition and its explicit variable declarations are preserved.

Preamble

import Mathlib
open Real Nat

Formal statement

theorem WorkbookSource.problem_56488 : (50^100) > 100!  :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_56488; Apache-2.0

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