Elementary arithmetic identity #52050

Proved

WorkbookCorrected.plus_52050

by carlok · Sep 29, 2026 · Mathlib 0df444a (Lean v4.33.1)

arithmeticcorrectedelementaryworkbook

The elementary natural-number / rational identity

1 + 25 + 300 + 2300 + 12650 + 53130 + 177100 + 480700 + 1081575 + 2042975 + 3268760 + 4457400 + 5200300 + 5200300 + 4457400 + 3268760 + 2042975 + 1081575 + 480700 + 177100 + 53130 + 12650 + 2300 + 300 + 25 + 1 = 2^25

holds by direct arithmetic evaluation.

Formalization Note: This corrects Lean-Workbook record lean_workbook_plus_52050, which omitted a compilable colon/type annotation and/or used a preamble of only Mathlib.Analysis.Complex.Basic.

Source: InternLM Lean-Workbook, record lean_workbook_plus_52050 (Apache-2.0).

Preamble

import Mathlib.Tactic.NormNum

Formal statement

theorem WorkbookCorrected.plus_52050 : 1 + 25 + 300 + 2300 + 12650 + 53130 + 177100 + 480700 + 1081575 + 2042975 + 3268760 + 4457400 + 5200300 + 5200300 + 4457400 + 3268760 + 2042975 + 1081575 + 480700 + 177100 + 53130 + 12650 + 2300 + 300 + 25 + 1 = 2 ^ 25 := by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook; record lean_workbook_plus_52050; Apache-2.0; corrects Open node 9e1bf98e-9dfd-4168-ad65-b4885ab1f8f2

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