{"id":"e-07d02f4f92ce5b13","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-2245b35ec7cd4857","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":"caec68bc3351d21103e8bfeb124944c44cd055f848eb3638fcca84dfc4e1f2dd","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":14754,"certificate_compressed_size":3426,"conclusion_name":"One half of odd-numbered entries of even-numbered rows of Pascal's triangle A007318.","claims":[],"premises":[],"cited_by":[]}