Elementary inequality #40974

Proved

WorkbookCorrected.plus_40974

by carlok · Oct 1, 2026 · Mathlib 0df444a (Lean v4.33.1)

arithmeticcorrectedelementaryworkbook

The elementary natural-number / rational identity

(623171679694215690971693339/131362987122535807501262400:ℚ) < (32/5:ℚ)

holds by direct arithmetic evaluation.

Formalization Note: This corrects Lean-Workbook record lean_workbook_plus_40974, 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_40974 (Apache-2.0).

Preamble

import Mathlib.Data.Rat.Defs
import Mathlib.Tactic.NormNum

Formal statement

theorem WorkbookCorrected.plus_40974 : (623171679694215690971693339/131362987122535807501262400:ℚ) < (32/5:ℚ) := by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook; record lean_workbook_plus_40974; Apache-2.0; corrects Open node db2c034e-85b2-4fd6-ac88-eae4c2dac865

View graph