{"id":"e-748291d881f1ad3e","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-a10f777f75d58fc1","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":"0871318ce90760e979284582d8c0a98e82bb37d6b43351b300c665ad28692471","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":27861,"certificate_compressed_size":4930,"conclusion_name":"shift_x_plus_one of basis_map_A013611 of One half of odd-numbered entries of even-numbered rows of Pascal's triangle A007318.","claims":[],"premises":[],"cited_by":[]}