{"id":"e-05e5d91dd5b215be","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-4355c823139108ab","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":"162043e20d91fea4ba2676112a3480315fbbdaae3d4330705af0721cd8042b10","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":17301,"certificate_compressed_size":4259,"conclusion_name":"basis_map_A007318 of Generalized Narayana numbers, T(n, k) = 3/(n + 1)*binomial(n + 1, k + 2)*binomial(n + 1, k - 1), triangular array read by rows.","claims":[],"premises":[],"cited_by":[]}