{"id":"e-c121fdcf433558da","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-d9801c5264eca57f","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":"cce6fb4351e16bf2d83e56c46cb2086fc9022c018593cf870fb6d63d36c6a07d","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":28141,"certificate_compressed_size":5064,"conclusion_name":"shift_x_plus_one of basis_map_A013610 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":[]}