{"id":"e-b70532453d2b0e11","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-5d39164c4108e043","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":"e8f736189cf8e3b9f143440cf619c1f75e6c5f911d0a8aa523cd74df2e964a1e","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":9397,"certificate_compressed_size":2487,"conclusion_name":"Riordan array (1, 3+x).","claims":[],"premises":[],"cited_by":[]}