{"id":"e-c1114715384c2ac1","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-fe8e8f3388df4395","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":"9efd386f73780448a029cf4f789f7bdc7ef40e9cc7f695b984b782a297fb6a54","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":11494,"certificate_compressed_size":3099,"conclusion_name":"shift_x_plus_one of basis_map_A007318 of Triangle of even numbered entries of odd numbered rows of Pascal's triangle A007318.","claims":[],"premises":[],"cited_by":[]}