{"id":"e-34496f1b474c1a7e","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-0e6d847331141ca6","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":"8b5b921d87c5c66c4a82d19c80443049a3be01f0b288ef23791fdabafd55e633","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":16227,"certificate_compressed_size":3919,"conclusion_name":"basis-map coefficients of Triangular array of generalized Narayana numbers: T(n, k) = 2*binomial(n + 1, k + 1)*binomial(n + 1, k - 1)/(n + 1). shifted by x ->  x + 1","claims":[],"premises":[],"cited_by":[]}