{"id":"e-a0db61b1ca32d092","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-f050517ea751864e","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":"fc40f9e245e3e5ee4276f066033427bea03829719bf134dff2979abfbe36f3ea","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":28213,"certificate_compressed_size":5091,"conclusion_name":"shift_x_plus_one of basis_map_A013609 of Triangle T(n,k) = T(n-1,k) + 3*T(n-2,k-1) for k = 0..floor(n/2), with T(0,0) = 1, T(n,k) = 0 for n or k < 0, read by rows.","claims":[],"premises":[],"cited_by":[]}