{"id":"e-042af135dc6424b4","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-4d868f67dfcfb6b7","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":"39e33fc952214ac8d95aa19247836a83d9fe9ddb893b4c24502c437f3bc2988c","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":11563,"certificate_compressed_size":3065,"conclusion_name":"basis_map_A007318 of Triangle T(n,k) = T(n-1,k) + 3*T(n-2,k-1) for k = 0..floor(n/2), with T(0,0) = 1, T(n,k) = 0 for n or k < 0, read by rows.","claims":[],"premises":[],"cited_by":[]}