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Elementary arithmetic identity #50116

Proved
WorkbookCorrected.plus_50116

by carlok · Oct 6, 2026 · Mathlib 0df444a (Lean v4.33.1)

arithmeticcorrectedelementaryrepairedworkbook

The elementary natural-number identity

55=31255^5 = 312555=3125

holds by direct arithmetic evaluation.

Formalization Note: This corrects Lean-Workbook record lean_workbook_plus_50116, which omitted a compilable colon/type annotation and/or used a preamble of only Mathlib.Analysis.Complex.Basic, and whose stated right-hand side did not match the evaluated left-hand side. The repaired statement keeps the arithmetic left-hand side and uses the evaluated integer right-hand side (original RHS was 625).

Source: InternLM Lean-Workbook, record lean_workbook_plus_50116 (Apache-2.0).

Preamble
import Mathlib.Tactic.NormNum
Formal statement
theorem WorkbookCorrected.plus_50116 : 5 ^ 5 = 3125 := by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook; record lean_workbook_plus_50116; Apache-2.0; corrects Open node e52400d5-1217-4015-b072-a650247aa071

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