{"id":"e-4e7c1404f4ed504f","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-913df248d683398b","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":"2942a5466b2aeb6d3c6c71b39c249c2b3279e7ac0d1bd25197fc5ad818323152","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":11609,"certificate_compressed_size":3162,"conclusion_name":"shift_x_plus_one of basis_map_A013610 of Triangle of even numbered entries of odd numbered rows of Pascal's triangle A007318.","claims":[],"premises":[],"cited_by":[]}