"What could be more democratic, what could be more British, than trusting the judgement of the British people?"
If Theresa May can not make a Brexit deal work and the outcome of negotiations is rejected by Parliament, then, the People's Vote campaign argues, the people of Britain should have the democratic right to vote on the final Brexit deal when it becomes clear what that entails for the UK.
Susan Martin, one of the founding members of the Nottingham and Nottinghamshire People's Vote Group, said: "There's been so much demand to go on the march that we've had to lay on extra transport and loads more people are making their own way there".
Jason Gillot, 43, said he originally voted to leave the European Union, but "changed his mind five days after the referendum", so he has been marching with a sign that says "When the facts change, I change my mind!"
Theresa May visited an arts exhibition in her constituency of Maidenhead today while anti-Brexit protesters gathered for the People's Vote march.
Campaigners from all over the United Kingdom took part in the demonstration which saw them march to Parliament Square in support of the so-called People's Vote.
"And if that means there are some hard days in Brussels, well that's just something I have to deal with", she said.
"Scotland is looking at being taken out of the European Union against her will and I am very, very proud to say that when we know what the Brexit deal looks like, we will support a People's Vote that includes the option to Remain".
The march on parliament aims to convince British Prime Minister Theresa May to hold a second Brexit referendum.
Thousands of campaigners arrived dressed in royal blue clothing emblazoned with gold stars, brandishing signs which read "bin Brexit now" and "I want a say on Brexit".
"Nobody was saying we won't have access to the single market, nobody was talking about damaging the NHS, and so we should ask the British public, wit the option of staying in the EU".
In a direct appeal to the public, she has acknowledged that many people are tiring of the negotiations that have felt "never-ending" and said she sometimes feels the same. Though she had not supported Brexit, May promised to obey the will of the voters and pull the country out of the E.U., and on March 29, she sent a letter to the European Union, officially beginning the departure.
"We would have to meet minimum income rules and I am self-employed", said Godfrey. But the past two years have been politically fraught as the government has struggled to agree on a plan and there are fears that Britain could leave the bloc without a deal. However, those still in favour of Brexit say a second referendum could trigger a constitutional crisis.
If you want that to happen, get yourself down to the march - apparently some students from the Highlands are already on their way, and you don't want to be made to look lazy by students, do you? "We need your help so that the people can take back control of the future of this country".
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