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Elementary arithmetic identity #60530

Proved
WorkbookCorrected.plus_60530

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

arithmeticcorrectedelementaryrepairedworkbook

The elementary natural-number identity

52∗43=16005^2 * 4^3 = 160052∗43=1600

holds by direct arithmetic evaluation.

Formalization Note: This corrects Lean-Workbook record lean_workbook_plus_60530, 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 1280).

Source: InternLM Lean-Workbook, record lean_workbook_plus_60530 (Apache-2.0).

Preamble
import Mathlib.Tactic.NormNum
Formal statement
theorem WorkbookCorrected.plus_60530 : 5 ^ 2 * 4 ^ 3 = 1600 := by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook; record lean_workbook_plus_60530; Apache-2.0; corrects Open node f5f81277-a5a6-4230-84a0-b9d53cd026e5

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