{"id":"e-e665ff4860924708","operation":{"operation":"parent_provers","route":"root_domain"},"operation_detail":"root_domain","conclusion_id":"n-fbb4b9430d9de872","premise_count":0,"theorem":"polytool parent provers, route root_domain: every parent row P_n, n >= 0, is zero or real-rooted with coefficients of one sign","lean_route":null,"lean_declarations":[],"certificate_hash":"f8b80c98d21f8e7cc868b2b186083388c8250af703eb0e960396042bb0bfce46","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"parent_provers","certificate_raw_size":1392,"certificate_compressed_size":695,"conclusion_name":"Triangle read by rows: row n consists of n zeros followed by n!.","claims":[{"claim":"real_rooted","from_index":0,"region":{"upper":{"closed":true,"value":"0"}}}],"premises":[],"cited_by":[{"node_id":"n-fbb4b9430d9de872","claim":"real_rooted"},{"node_id":"n-fbb4b9430d9de872","claim":"one_signed_coefficients"},{"node_id":"n-fbb4b9430d9de872","claim":"hadamard_kernel"}]}