Prove2Me

Rational arithmetic identity #6012

Proved
WorkbookCorrected.plus_6012

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

arithmeticcorrectedelementaryworkbook

The elementary natural-number / rational identity

(5/8:Q)=(5/8:Q)(5/8:ℚ) = (5/8:ℚ)

holds by direct arithmetic evaluation.

Formalization Note: This corrects Lean-Workbook record lean_workbook_plus_6012, 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_6012 (Apache-2.0).

Preamble
import Mathlib.Data.Rat.Defs
import Mathlib.Tactic.Ring
import Mathlib.Tactic.NormNum
Formal statement
theorem WorkbookCorrected.plus_6012 : (5/8:ℚ) = (5/8:ℚ) := by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook; record lean_workbook_plus_6012; Apache-2.0; corrects Open node f8b2c4fd-8f2d-42fe-a65b-0c60dc7a4785

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