He is alleged to have been an associate of the hate preacher Anjem Choudary and appeared in a 2016 Channel 4 documentary about British Islamic extremists, The Jihadis Next Door.
Butt, who was 27 years old, was a British citizen born in Pakistan.
Also hitting out at the reduced police numbers under the last two governments lead by the Conservatives, the Labour mayor also warned London would be more unsafe under planned budget cuts, which he said could lead to as many as 12,000 fewer police officers.
She said providing more firearms for London Police wouldn't be a sensible solution to the increased tempo of attacks, saying the strategy of having special mobile units of heavily armed officers is effective. Police have not released the identity of the third. The men were armed with knives and then left their vehicle to stab "numerous people" in the area of nearby Borough Market, police said.
May did not answer repeated questions from reporters on the cutbacks but said counter-terrorism budgets had been protected and police had the powers they needed.
Authorities said 36 people remained in hospital, with 18 in a critical condition.
Seven people were killed in the attack on Saturday night, which was carried out by three men.
Londoners stand behind a cordon in the East Ham district on Sunday, following a police raid investigating Saturday's terror attacks in Central London. He spoke English salted with east London slang and was a fan of the Arsenal soccer team. Much like the assailants in the two earlier attacks, these men had British roots and were peripheral to the focus of security agencies. "Since discovering that it was Rachid that was responsible I have shed many tears for the people caught up in this horrific incident", O'Leary said. The deceased's family have been informed.
The Islamic State militant group, which is losing territory in Syria and Iraq to an offensive backed by a USA -led coalition, claimed responsibility for the London Bridge attack, though it is unclear whether the attackers had links to the group.
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The two main candidates for prime minister - the incumbent, May, and the challenger, Jeremy Corbyn - traded barbs Monday over how security services can better protect the public after three mass-casualty attacks in as many months.
An unnamed French national also died in the rampage, with two others missing, the French foreign affairs minister Jean-Yves Le Drian said.
The attackers, wearing fake suicide vests, were shot dead by eight officers after police unleashed a hail of 50 bullets upon them.
"I am so sick of Theresa May blaming others for terror when the system she presided over has obviously failed so lamentably", Steve Hilton, once a close adviser to Cameron, wrote on Twitter.
Questions are being raised about whether British police missed crucial warning signs that could have prevented the attack.
"If our human rights laws stop us from doing it, we will change the laws so we can do it", May said at an election rally.
The country's official terror threat level remains at "severe", one notch down from the highest.
"However, there was no intelligence to suggest that this attack was being planned and the investigation had been prioritised accordingly", police said in a statement.




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