{"id":"e-f0f102dbcc021c62","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-c2b0d68b9e568dde","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":"4af58af0d090c76b651959e0c7a081f579c5f1afcac21db643042487322848d1","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":17591,"certificate_compressed_size":4050,"conclusion_name":"basis_map_A007318 of Triangle read by rows. T(n, k) = binomial(n, k)*binomial(n - 1, n - k - 1).","claims":[],"premises":[],"cited_by":[]}