The solicitor representing the former Conservative minister, Mr Neil Hamilton, and his wife, Christine, yesterday provided police with detailed evidence to rebut the allegation of sexual assault made against them last week.
The couple were arrested last Friday and questioned about allegations made by a lecturer that they were present when she was raped at a flat in Ilford, east London, in May. The Hamiltons were released without charge and since then have publicly insisted the allegations are false and malicious.
Their solicitor, Mr Michael Coleman, said he had shown the detectives investigating the case evidence that showed it was impossible for the couple to have taken part in the alleged rape and sexual assault. The evidence included details of the use of their mobile telephone, credit card and shopping receipts.
The Hamiltons have insisted they were entertaining friends at their London home on the evening the alleged rape took place.
Confirming they were considering suing police for wrongful arrest, Mr Hamilton told reporters outside their home in Cheshire they supported a change in the law to protect the identity of those facing allegations of serious sexual assault and rape.
"I just want to reiterate today that we are totally innocent of these outrageous allegations," the former MP said.
Downing Street said there were no plans to change the law.