{"id":"e-940c6f3ca149e9ff","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-57c367574a30fd7b","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":"d1ea0ae4304ef305614c3c0d604e5f8c96fb05b6cc78d2898ae9d52e5937f0f7","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":15205,"certificate_compressed_size":3557,"conclusion_name":"basis_map_A007318 of Square the entries of Pascal's triangle.","claims":[],"premises":[],"cited_by":[]}