{"id":"e-652a7cfa737886da","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-50746bd627deaa2a","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":"31eace9f8b5c812928fe6379c86907fb88303f8630c83ca041f68e34a066076f","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":12481,"certificate_compressed_size":3238,"conclusion_name":"shift_x_plus_one of Triangle read by rows: T(n,k) is the number of k-matchings in the n-sunlet graph (0 <= k <= n).","claims":[],"premises":[],"cited_by":[]}