{"id":"e-6e78dd0e7e5c1533","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-3b95e3dd4c91b92c","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":"9f46f945d4d5a2045a303cd0bc57006bc1730f8b7fbee8fb13cf0c3547201c7e","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":17391,"certificate_compressed_size":4265,"conclusion_name":"basis_map_A007318 of Triangle of Dyck paths counted by number of long interior inclines.","claims":[],"premises":[],"cited_by":[]}