{"id":"e-7a3496783bbc03d9","operation":{"operation":"definition_equality"},"operation_detail":null,"conclusion_id":"n-abad200ec25a15c5","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":"aedf36876514bc0b0397b0594cb0ebdec9ccfd46f654c336da7f25a336bd132c","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"definition_equality","certificate_raw_size":20062,"certificate_compressed_size":3744,"conclusion_name":"shift_x_plus_one of basis_map_A007318 of T(n,k) = binomial(n,k)*binomial(n+k,k), 0 <= k <= n, triangle read by rows.","claims":[],"premises":[],"cited_by":[]}