Prove2Me

Multiplying a power by its base

Proved
WorkbookSource.problem_24837

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

lean-workbooksource-checked

Prove that 2000(20002000)=20002001 2000(2000^{2000}) = 2000^{2001}.

Source: InternLM Lean-Workbook, record lean_workbook_24837 (Apache-2.0). The complete source proposition and explicit variable declarations are preserved.

Preamble
import Mathlib
open Real Nat
Formal statement
theorem WorkbookSource.problem_24837 : 2000 * (2000 ^ 2000) = 2000 ^ 2001  :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_24837; Apache-2.0

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