{"id":"e-1624ef108463d2e9","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-39349a1d5687595d","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":"4266e48dcadf7158942eebff455bf4d46ddf3aa5a4cd1e938414f08c58704b0d","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":27949,"certificate_compressed_size":4962,"conclusion_name":"shift_x_plus_one of basis_map_A013610 of Triangle read by rows: T(n,k) = binomial(2n+1, 2k+1).","claims":[],"premises":[],"cited_by":[]}