Prove2Me

Elementary inequality #2801

Proved
WorkbookCorrected.plus_2801

by carlok · Sep 30, 2026 · Mathlib 0df444a (Lean v4.33.1)

arithmeticcorrectedelementaryworkbook

The elementary natural-number / rational identity

((72))<6∗((32))+4∗((22))(\binom{7}{2}) < 6 * (\binom{3}{2}) + 4 * (\binom{2}{2})

holds by direct arithmetic evaluation.

Formalization Note: This corrects Lean-Workbook record lean_workbook_plus_2801, 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_2801 (Apache-2.0).

Preamble
import Mathlib.Data.Nat.Choose.Basic
import Mathlib.Tactic.NormNum
Formal statement
theorem WorkbookCorrected.plus_2801 : (Nat.choose 7 2) < 6 * (Nat.choose 3 2) + 4 * (Nat.choose 2 2) := by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook; record lean_workbook_plus_2801; Apache-2.0; corrects Open node 8fe52561-61c2-44c7-ae8d-c1a087af2ed9

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