Prove2Me

Comparing two factorial powers

Proved
WorkbookSource.problem_45871

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

lean-workbooksource-checked

Greater of two numbers (101!)100(101!)^{100} or (100!)101(100!)^{101}

Source: InternLM Lean-Workbook, record lean_workbook_45871; Apache-2.0. Complete source proposition preserved.

Preamble
import Mathlib
open Real Nat
Formal statement
theorem WorkbookSource.problem_45871 : (101!)^100 > (100!)^101  :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_45871; Apache-2.0

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