{"id":"e-e9f4e7fbe6961895","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-e7f9db5cff35db04","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":"c8acf349aeb26f88aceb897d4f78289afd2a334832fc6f6495b5beb63ae276eb","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":17981,"certificate_compressed_size":3446,"conclusion_name":"basis_map_A007318 of Triangle read by rows: T(n, k) = binomial(n+k-1, 2*k-1).","claims":[],"premises":[],"cited_by":[]}