{"id":"e-ba56ecf6342e94db","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-d945d6c9616de0d7","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":"e2347e56e824fe1684c630ca51a292a6a59008905445aaf054f802977e979abf","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":28217,"certificate_compressed_size":5082,"conclusion_name":"shift_x_plus_one of basis_map_A013611 of Irregular triangle read by rows: T(n,k) = binomial(n-k, k), n >= 0, 0 <= k <= floor(n/2); or, coefficients of (one version of) Fibonacci polynomials.","claims":[],"premises":[],"cited_by":[]}