{"id":"e-d229a49127c81b0a","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-c84c6091c7207354","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":"4fe20b4e7a6ef36afbfc6dd12813518499512698a1bc1de92bc558c85d60fc99","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":9843,"certificate_compressed_size":2992,"conclusion_name":"shift_x_plus_one of one_plus_derivative of 3n + 1 preceded by n zeros.","claims":[],"premises":[],"cited_by":[]}