{"id":"e-87e02e7d5b432145","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-5248ff3010d9702d","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":"e763a63384bbeb204c04ff65274a7741dedd83ec85f4a92d1de3da5f5c60c2c1","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":6665,"certificate_compressed_size":1784,"conclusion_name":"reversal of Triangle read by rows: row n consists of n-1 zeros followed by n(n+1)/2.","claims":[],"premises":[],"cited_by":[]}