{"id":"e-aed905df62c8265e","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-f455dcc658a36426","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":"ced0502d1c3d15ced8ccad36df96366f7be53baf1b547c33502b27e8d82b19dd","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":10032,"certificate_compressed_size":2778,"conclusion_name":"shift_x_plus_one of basis_map_A007318 of Triangle read by rows: T(n, k) = binomial(2n, 2k).","claims":[],"premises":[],"cited_by":[]}