{"id":"e-45e577e73ddd2222","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-5a8e43728bc85b19","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":"d0a9b6be323fbabd973723dfba42e815f630fbce4f3b7a593b87529417460f61","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":27841,"certificate_compressed_size":4916,"conclusion_name":"shift_x_plus_one of basis_map_A013610 of One half of odd-numbered entries of even-numbered rows of Pascal's triangle A007318.","claims":[],"premises":[],"cited_by":[]}