Comparing adjacent-base powers

Proved

WorkbookSource.problem_22195

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

lean-workbooksource-checked

Which one is greater $(1000)^{1000}$ or $(1001)^{999}$

Source: InternLM Lean-Workbook, record lean_workbook_22195 (Apache-2.0). The complete source proposition and explicit variable declarations are preserved.

Preamble

import Mathlib
open Real Nat

Formal statement

theorem WorkbookSource.problem_22195 : (1000 : ℝ) ^ 1000 > 1001 ^ 999  :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_22195; Apache-2.0

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