{"id":"e-f5f82cd32c2e9500","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-0bad942bfffd4f03","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":"e81801225b8630e13135f4befc53a1610561219becaf9ca1b129d35482101ce7","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":16217,"certificate_compressed_size":4126,"conclusion_name":"basis_map_A007318 of Pascal-(1,4,1) array.","claims":[],"premises":[],"cited_by":[]}