{"id":"e-577981c2154866df","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-c8c2604dc29a0657","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":"36af68d628a39303de2ad00d69cecd0eb2c9526ab6108626c999e9fd670aeaab","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":27912,"certificate_compressed_size":4904,"conclusion_name":"shift_x_plus_one of basis_map_A007318 of Square the entries of Pascal's triangle.","claims":[],"premises":[],"cited_by":[]}