{"id":"e-1ce312e71402c016","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-a82652fb4aa6d6f1","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":"c844cc39671c21693b8462f00b747d6ff5e30d01717923e203655e548cca0aaa","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":11547,"certificate_compressed_size":3129,"conclusion_name":"shift_x_plus_one of basis_map_A013609 of Triangle of even numbered entries of odd numbered rows of Pascal's triangle A007318.","claims":[],"premises":[],"cited_by":[]}