Prove2Me

Elementary inequality #3655

Proved
WorkbookCorrected.plus_3655

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

arithmeticcorrectedelementaryworkbook

The elementary natural-number / rational identity

((104)<(105))=True(\binom{10}{4} < \binom{10}{5}) = True

holds by direct arithmetic evaluation.

Formalization Note: This corrects Lean-Workbook record lean_workbook_plus_3655, 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_3655 (Apache-2.0).

Preamble
import Mathlib.Data.Nat.Choose.Basic
import Mathlib.Tactic.NormNum
Formal statement
theorem WorkbookCorrected.plus_3655 : ((Nat.choose 10 4) < (Nat.choose 10 5)) = True := by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook; record lean_workbook_plus_3655; Apache-2.0; corrects Open node 9c1b5b01-54df-46af-8a07-0ac264faf046

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