The police had a warrant to arrest Bill for burglary. They went to Bill's house to arrest him. The police arrested Bill in the living room. They then searched the whole house without a search warrant. In the basement, the police found stolen items. At trial, Bill challenges the search, claiming that the search was illegal and it violated his Fourth Amendment rights. The prosecution contends that the search was legal for it was a search incident to arrest. Could the search be justified under the doctrine of search incident to arrest?Explain