{"id":"e-acc524fdf5aac443","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-f24dc5f77f658331","premise_count":0,"theorem":"all-index identity Q_n = P_n certified by exact Ore-algebra division and identifying rows (polytool preserver-image certificate of the identity map)","lean_route":null,"lean_declarations":[],"certificate_hash":"040618a837b7485d17044eee88222cdf4f4a2f5b78c1659360f63a77af88fd96","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":10856,"certificate_compressed_size":2923,"conclusion_name":"Array T(m,n) read by ascending antidiagonals: T(m,n) = m*binomial(n+m-2, n-1) for m, n >= 1.","claims":[],"premises":[],"cited_by":[]}