{"id":"e-bf59fe80a0559f3e","operation":{"operation":"parent_provers","route":"periodic_product"},"operation_detail":"periodic_product","conclusion_id":"n-3dcaebc50e901d48","premise_count":0,"theorem":"polytool parent provers, route periodic_product: every parent row P_n, n >= 0, is zero or real-rooted with coefficients of one sign","lean_route":null,"lean_declarations":[],"certificate_hash":"2e0a68859a260dc28a1ef22f110e5c1cfbcdfcb853fe461c5ff24c31366e16b5","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"parent_provers","certificate_raw_size":629,"certificate_compressed_size":374,"conclusion_name":"Triangle whose (i,j)-th entry is binomial(i,j)*4^(i-j).","claims":[{"claim":"real_rooted","from_index":0,"region":{"upper":{"closed":true,"value":"0"}}}],"premises":[],"cited_by":[{"node_id":"n-3dcaebc50e901d48","claim":"one_signed_coefficients"},{"node_id":"n-3dcaebc50e901d48","claim":"hadamard_kernel"},{"node_id":"n-3dcaebc50e901d48","claim":"real_rooted"}]}
