{"id":"e-811c9b48309b7125","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-32ac941c8532b0d4","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":"b769251ccb882ac5ef7a24f35788b452c144c66f3de2a5140e0c87c54a879d86","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":8828,"certificate_compressed_size":2384,"conclusion_name":"shift_x_plus_one of theta_plus_one of Infinitesimal Pascal matrix: generator (lower triangular matrix representation) of the Pascal matrix, the classical operator xDx, iterated Laguerre transforms, associated matrices of the list partition transform and general Euler transformation for sequences.","claims":[],"premises":[],"cited_by":[]}