{"id":"e-7c5de25572de6f9f","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-43836771acfe9d89","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":"904ab8390d12632694af7d4de9875047e10179f6bc9f10c3b25db75f168ae6d5","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":15161,"certificate_compressed_size":3966,"conclusion_name":"basis_map_A007318 of Triangle T(n, k) is coefficient of z^n*w^k in 1/(1 - 2*z - 2*w - 2*z*w) read by rows in order 00, 10, 01, 20, 11, 02, ...","claims":[],"premises":[],"cited_by":[]}