Prove2Me

Rational arithmetic identity #31265

Proved
WorkbookCorrected.plus_31265

by carlok · Oct 3, 2026 · Mathlib 0df444a (Lean v4.33.1)

arithmeticcorrectedelementaryworkbook

The elementary natural-number / rational identity

(81/1000:Q)=(81/1000:Q)(81/1000:ℚ) = (81/1000:ℚ)

holds by direct arithmetic evaluation.

Formalization Note: This corrects Lean-Workbook record lean_workbook_plus_31265, 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_31265 (Apache-2.0).

Preamble
import Mathlib.Data.Rat.Defs
import Mathlib.Tactic.Ring
import Mathlib.Tactic.NormNum
Formal statement
theorem WorkbookCorrected.plus_31265 : (81/1000:ℚ) = (81/1000:ℚ) := by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook; record lean_workbook_plus_31265; Apache-2.0; corrects Open node 730f3d03-0cf0-4061-9846-d8c4592d1acc

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