She's been outlining her 12 point plan for Brexit – including maintaining the common travel area with Ireland and seeking free trade deals around the world.
The British Prime Minister said there will be no 'half-in, half-out' deal with the EU and remaining in the single market would be like not leaving the EU at all.
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She added that they will seek to leave the jurisdiction of the European Court of Justice and that the final Brexit deal will be put to both houses of parliament.
Mrs May also said the common travel area with Ireland is hugely important.