{"id":"e-7eaf14561efc7b42","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-212fa067c32397af","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":"d86a308ad6fc9330dbd69f3657ffa21cc329c5f0de4c73a53f7fe7f8986066d2","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":21052,"certificate_compressed_size":5098,"conclusion_name":"Pascal-(1,6,1) array.","claims":[],"premises":[],"cited_by":[]}