{"id":"e-5344783b25882878","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-bab8f81b674979eb","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":"57aae9094050a2b913aed383aeb2cda706be6df401c237d1edb0f5a0fe7a8166","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":27947,"certificate_compressed_size":5002,"conclusion_name":"shift_x_plus_one of Triangular array of the number of binary, rooted, leaf-labeled tree topologies with n leaves and k cherries, n >= 2, 1 <= k <= floor(n/2).","claims":[],"premises":[],"cited_by":[]}