{"id":"e-13e5451e4bd6e7bd","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-8d7a43e42ddb80a0","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":"c556829046ed0482d43845dd59e0406bc557712c578dcaf8d8bd6268a5eee000","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":8340,"certificate_compressed_size":2069,"conclusion_name":"derivative of basis_map_A008277 of a(n) = 1 if n is of the form m(m+3)/2, otherwise 0.","claims":[],"premises":[],"cited_by":[]}