{"id":"e-17a210f1346c4343","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-60da2299a7c8ee9b","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":"a7f6cb3b1196fb2618d7815d1aa51ba37258e14324e081462b5ad9525a906e80","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":19420,"certificate_compressed_size":3793,"conclusion_name":"shift_x_plus_one of Triangle read by rows: T(n,k) = (k+1)*(k+2)*(k+3)*binomial(n,k)/6 (0 <= k <= n).","claims":[],"premises":[],"cited_by":[]}