{"id":"e-037adb803e01af7d","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-0f17d4387a7e32e2","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":"728629ac957f057497d82adfff0911a2c6c6ed702e8e963aa924bb1917a4da35","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":9905,"certificate_compressed_size":2744,"conclusion_name":"shift_x_plus_one of basis_map_A013611 of Triangle read by rows: T(n, k) = binomial(2n, 2k).","claims":[],"premises":[],"cited_by":[]}