{"id":"e-19e7de6d44e2d2c6","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-87eef110d487e3a4","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":"4a40d2e577c378381d8d85c8bd19be7c0fc581693a78ae3648145d87a2109357","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":13991,"certificate_compressed_size":3383,"conclusion_name":"basis_map_A007318 of Triangle read by rows: T(n,k) = binomial(2n+1, 2k+1).","claims":[],"premises":[],"cited_by":[]}