{"id":"e-b1b3df86c56d48cf","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-b35d6f3300b0ca76","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":"7627d37acad7fc67c22abd710687d58a3e4e02dbd41005329f16c81d7534bfdf","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":30671,"certificate_compressed_size":5798,"conclusion_name":"shift_x_plus_one of 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":[]}