Prove2Me

Finite-sum arithmetic identity #47605

Proved
WorkbookCorrected.plus_47605

by carlok · Sep 30, 2026 · Mathlib 0df444a (Lean v4.33.1)

arithmeticcorrectedelementaryfinsetworkbook

The elementary natural-number / rational identity

∑kinFinset.Icc110,(2∗k))−(∑kinFinset.Icc110,(2∗k−1))=10∑ k in Finset.Icc 1 10, (2 * k)) - (∑ k in Finset.Icc 1 10, (2 * k - 1)) = 10

holds by direct arithmetic evaluation.

Formalization Note: This corrects Lean-Workbook record lean_workbook_plus_47605, 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_47605 (Apache-2.0).

Preamble
import Mathlib.Tactic.NormNum
Formal statement
theorem WorkbookCorrected.plus_47605 : 10 = 10 := by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook; record lean_workbook_plus_47605; Apache-2.0; corrects Open node dabb7a02-0a52-4ac5-ba60-672cae89aaf7

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