{"id":"e-9aa46c19266a00bf","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-97b51734d39ede6c","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":"bc3425d98a81153e76f5ed88b2cd1fc3f27bbc03399e094fab6d983908950276","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":7991,"certificate_compressed_size":2169,"conclusion_name":"Triangle of Bessel numbers read by rows: T(n,k) is the number of k-matchings of the complete graph K(n).","claims":[],"premises":[],"cited_by":[]}