Comparing two powers of consecutive factorials

Proved

WorkbookSource.problem_16058

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

lean-workbooksource-checked

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

Source: InternLM Lean-Workbook, record lean_workbook_16058 (Apache-2.0). The complete source proposition and explicit variable declarations are preserved.

Preamble

import Mathlib
open Real Nat

Formal statement

theorem WorkbookSource.problem_16058 (x y : ℝ) (hx : x = (101!)^100) (hy : y = (100!)^101) : x > y  :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_16058; Apache-2.0

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