{"id":"e-47ee1dd4d233fe8f","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-8159f24e9c9fb552","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":"5e5aa98967c8d2d381f440c081e70c65a21c737993f10a37a6fb4fe24b1ccda7","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":26478,"certificate_compressed_size":4494,"conclusion_name":"shift_x_plus_one of 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":[]}