{"id":"e-e8c1c1b32f6c7532","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-0444a4f352052985","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":"ef979940189b11a0faa7b5103fe87db285e99e777033553a802f466bc7d7ada3","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":20358,"certificate_compressed_size":3746,"conclusion_name":"basis_map_A007318 of T(n,k) = binomial(n,k)*binomial(n+k,k), 0 <= k <= n, triangle read by rows.","claims":[],"premises":[],"cited_by":[]}