{"id":"e-911e771a8b01ca42","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-d6d09a63aa4e7864","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":"48e507fe2b46c38de65ed825c164cd42ebc80f3e2224bcaec9885e2f23fe5865","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":9198,"certificate_compressed_size":2598,"conclusion_name":"shift_x_plus_one of Triangle read by rows: coefficients of the partial fraction decomposition of [d^n/dx^n] (x/(1-x))^n/n!.","claims":[],"premises":[],"cited_by":[]}