Police have said they have responded to an incident in Borough Market as well as at London Bridge this evening.
The Met police confirmed on its official twitter feed that there were "armed police at the scenes."
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The final cordon has been lifted in London Bridge after the attack which killed eight people.
A survivor of the London Bridge atrocity has said she feels lucky to be alive after her throat was cut in the attack.
Police said the fake explosive belts worn by the three London Bridge attackers were designed to cause "maximum fear".