{"id":"e-e56425f8d1d321a4","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-cebd634c8f491847","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":"36494552d6004b423faa8ca6fc5a325e493230c5628b50530314c3eb0a56e641","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":28130,"certificate_compressed_size":5030,"conclusion_name":"shift_x_plus_one of gamma_polynomial of Pascal-(1,4,1) array.","claims":[],"premises":[],"cited_by":[]}