{"id":"e-504abd919cd0fe17","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-732f971f7fa816ab","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":"51c222b2937b98bf9ce1a177b2405bc901935e72bc0b48e01814fd391ace03e5","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":19941,"certificate_compressed_size":3999,"conclusion_name":"shift_x_plus_one of basis_map_A013609 of Triangle read by rows: T(n,k) = binomial(k,n-k).","claims":[],"premises":[],"cited_by":[]}