Elementary inequality #25163

Proved

WorkbookCorrected.plus_25163

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

arithmeticcorrectedelementaryworkbook

The elementary natural-number / rational identity

(16215550374995553724649140826784239545968176044228380026973887068188454273239028608101/9917270859375120893045101020037428693596312932340607412425530338350988976871694848000:ℚ) > (7/5:ℚ)

holds by direct arithmetic evaluation.

Formalization Note: This corrects Lean-Workbook record lean_workbook_plus_25163, 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_25163 (Apache-2.0).

Preamble

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

Formal statement

theorem WorkbookCorrected.plus_25163 : (16215550374995553724649140826784239545968176044228380026973887068188454273239028608101/9917270859375120893045101020037428693596312932340607412425530338350988976871694848000:ℚ) > (7/5:ℚ) := by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook; record lean_workbook_plus_25163; Apache-2.0; corrects Open node d64b8a14-1ccc-4f0c-8f0e-3cd0a902958d

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