{"id":"e-31b5b2be506efabb","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-fbb4b9430d9de872","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":"beb7bfa5088e77609b8a6f304d2e5437bfa3e5b50ebb5851a1336892c715c273","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":6546,"certificate_compressed_size":2050,"conclusion_name":"Triangle read by rows: row n consists of n zeros followed by n!.","claims":[],"premises":[],"cited_by":[]}