{"id":"e-336aec15eebed0a0","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-287f303befef026a","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":"96981ed2c802878df05c1fb68c7813b1cadc17e6d101ecc901a30b3d2c748ac0","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":9879,"certificate_compressed_size":2740,"conclusion_name":"shift_x_plus_one of basis_map_A013610 of Triangle read by rows: T(n, k) = binomial(2n, 2k).","claims":[],"premises":[],"cited_by":[]}