{"id":"e-7c807e64c919bec5","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-7ac21ea1b3b7e282","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":"5a95ea85c03d290c146b13e19926c4a95405871c8cfbc35fc117f37d894b83b4","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":21339,"certificate_compressed_size":5185,"conclusion_name":"Pascal-(1,9,1) array.","claims":[],"premises":[],"cited_by":[]}