{"id":"e-637632b6c2fd4634","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-b1a7dcc8610d7e32","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":"c204f35f020cdaeb0f808f49dd591494abdf177b47f24473be01db848f1a4f1c","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":7837,"certificate_compressed_size":2278,"conclusion_name":"Triangle read by rows: T(n,k) is the number of ternary strings of length n with k indispensable digits, with 0 <= k <= n.","claims":[],"premises":[],"cited_by":[]}