{"id":"e-976e9514cb2529e4","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-1bf99ad40f056d33","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":"73af6faf71f6424d9d71f7299532ff8033f14ae1711c264c6a464ddf58264b81","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":4774,"certificate_compressed_size":1478,"conclusion_name":"basis-map coefficients of Square array of binomial coefficients T(n,k) = binomial(n,k), n >= 0, k >= 0, read by downward antidiagonals.","claims":[],"premises":[],"cited_by":[]}