{"id":"e-507237b5f4039072","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-3d55772447340781","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":"cc04fe0bd47998e2282279cdce592cb5ec166bea7571f354de48fab40da9f32a","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":13978,"certificate_compressed_size":3377,"conclusion_name":"basis_map_A007318 of One half of odd-numbered entries of even-numbered rows of Pascal's triangle A007318.","claims":[],"premises":[],"cited_by":[]}