Prove2Me

Binomial coefficient identity #11131

Proved
WorkbookCorrected.plus_11131

by carlok · Sep 29, 2026 · Mathlib 0df444a (Lean v4.33.1)

arithmeticcorrectedelementaryworkbook

The elementary natural-number / rational identity

286∗(((96)))=3∗(((166)))286 * ((\binom{9}{6})) = 3 * ((\binom{16}{6}))

holds by direct arithmetic evaluation.

Formalization Note: This corrects Lean-Workbook record lean_workbook_plus_11131, 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_11131 (Apache-2.0).

Preamble
import Mathlib.Data.Nat.Choose.Basic
import Mathlib.Data.Rat.Defs
import Mathlib.Tactic.Ring
import Mathlib.Tactic.NormNum
Formal statement
theorem WorkbookCorrected.plus_11131 : (286:ℚ) * ((Nat.choose 9 6)) = (3:ℚ) * ((Nat.choose 16 6)) := by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook; record lean_workbook_plus_11131; Apache-2.0; corrects Open node f9fafd7e-d754-47c4-8ca5-62a2d05f0a37

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