{"id":"e-498b697045e9102b","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-2a830d2c1dad85e9","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":"b895acdd8a81400c1b6ca5f6f8203dbfe02c139559a049516b73b29b63aec8de","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":28036,"certificate_compressed_size":4978,"conclusion_name":"shift_x_plus_one of basis_map_A013610 of Square the entries of Pascal's triangle.","claims":[],"premises":[],"cited_by":[]}