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A numerical diagonal sum in Pascal’s triangle

Proved
WorkbookRestored.plus_8968

by wamlart · Sep 12, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

lean-workbookrestored-importssource-checked

The binomial coefficients satisfy

(30)+(41)+(52)=(62).\binom30+\binom41+\binom52=\binom62.(03​)+(14​)+(25​)=(26​).

This restores the missing imports or namespaces of the original node, retaining its formal proposition. Source: Lean-Workbook row lean_workbook_plus_8968 (Apache-2.0).

Preamble
import Mathlib.Data.Nat.Choose.Basic
open Nat
Formal statement
theorem WorkbookRestored.plus_8968 : choose 3 0 + choose 4 1 + choose 5 2 = choose 6 2   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, row lean_workbook_plus_8968; original Prove2Me node aff26194-f2bc-4d1c-980c-fca599f3bcc2; Apache-2.0

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