{"id":"e-45b391e15b1cf3a9","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-4b52bcea0ddc9e78","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":"e8343f70d361b67d0be2d63dbcd251088b8b8c936cdf65806bc50fabd7bd5fa9","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":19474,"certificate_compressed_size":4809,"conclusion_name":"shift_x_plus_one of derivative of Triangle read by rows, n>=1, 1<=k<=n, T(n,k) = k*binomial(n,k)^2/(n-k+1).","claims":[],"premises":[],"cited_by":[]}