{"id":"e-6385ba87ef72ed57","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-0abf36e1d724d74f","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":"ea271f4fb1c5a3cc0537009e96a1366ef1b8f9c01112dceece3fc8fa541e52d8","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":9185,"certificate_compressed_size":2130,"conclusion_name":"theta_plus_one_squared of Triangle of Stirling numbers of the second kind, S2(n,k), n >= 1, 1 <= k <= n.","claims":[],"premises":[],"cited_by":[]}