{"id":"e-2429e27d4b998677","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-f4c1dee76f5a68b2","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":"1ceb4e0bcc78892276e2668404570aeecf43ab28922a018ba1ab193d8620595a","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":10265,"certificate_compressed_size":2787,"conclusion_name":"A natural number operator.","claims":[],"premises":[],"cited_by":[]}