{"id":"e-9d85bce6b3dba468","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-1c472d1762258215","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":"b990f045d81bb0bd3090f1dc5fa6b24ff5673ff1f0ceb3da72c8d9dba78d9b70","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":21208,"certificate_compressed_size":5165,"conclusion_name":"Pascal-(1,8,1) array.","claims":[],"premises":[],"cited_by":[]}