{"id":"e-84f434121cdb02d1","operation":{"operation":"parent_provers","route":"root_domain"},"operation_detail":"root_domain","conclusion_id":"n-7c9c430277778c10","premise_count":0,"theorem":"polytool parent provers, route root_domain: every parent row P_n, n >= 1, is zero or real-rooted with coefficients of one sign","lean_route":null,"lean_declarations":[],"certificate_hash":"ab552c732f7607315380b131764b2ae25d11d23e3d8c00df7cdf521821102bb6","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"parent_provers","certificate_raw_size":1159,"certificate_compressed_size":609,"conclusion_name":"Triangle of polynomial coefficients related to the series expansions of (1-x)^((-1-2*n)/2).","claims":[{"claim":"real_rooted","from_index":1,"region":{"upper":{"closed":true,"value":"0"}}}],"premises":[],"cited_by":[{"node_id":"n-7c9c430277778c10","claim":"one_signed_coefficients"},{"node_id":"n-7c9c430277778c10","claim":"hadamard_kernel"},{"node_id":"n-7c9c430277778c10","claim":"real_rooted"}]}
