{"id":"e-011323e4bbdda656","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-a3fd45efabb10cb9","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":"a73765e312d69af66829c45af1f8664af5e7b8814bf8ef86dcc9a7476d89786d","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":27993,"certificate_compressed_size":4951,"conclusion_name":"shift_x_plus_one of basis_map_A013609 of Square the entries of Pascal's triangle.","claims":[],"premises":[],"cited_by":[]}