After President Trump's radio phone-in with Nigel Farage yesterday, the issue of whether US companies could have access to the NHS under a post-Brexit US-UK trade deal has dominated much of today's campaigning.

Conservative MPs have been emphasising that the party would never allow such involvement by American companies, while Labour MPs say Boris Johnson's plans leave the NHS on the table in any trade negotiations.

BBC Reality Check looked at this issue in June.

Jonathan Blake
BBC political correspondent

This offer from Nigel Farage is clearly designed to appear as reasonable as possible and to put the higher purpose of leaving the European Union over and above any party loyalty.

But this is a general election campaign and not a referendum, so Mr Farage’s idea of some grand Leave alliance looks like wishful thinking at this point.

Boris Johnson is not about to ditch the Brexit deal he negotiated with the EU and Labour appear in no mood – from the top down at least – to do any kind of deal with the Brexit Party either.

Image source, PA Media

Responding to the Brexit Party's campaign launch, Lib Dem deputy leader Ed Davey says "crashing out of the EU" without a deal would be "catastrophic".

"Nigel Farage is correct that the Conservative Party should be very worried about the Liberal Democrats in this election," he says.

"We are the strongest national party of Remain and we are ready to take the fight to Boris Johnson as well as Jeremy Corbyn."

"He is also right that Boris Johnson’s Brexit deal would be a disaster for the UK," he adds.

Image source, PA Media

Nigel Farage said "shaking up" the political system for the 21st Century would be a key issue of the Brexit Party's election campaign.

He told the Press Association: "The appetite now for political reform is overwhelming."

He said people are "sick of the House of Lords", adding: "They understand that our voting system leaves millions of people disenfranchised."

"What the 2016 referendum showed then is they [voters] want to have more of a say on things.

"I think genuinely shaking up the political system, putting it into the 21st Century, making people feel they own part of it, is really key."

Mr Farage insisted that if Mr Johnson worked with him in a Leave alliance, he would not ask for "any rank, any title, any position" or membership of the cabinet.

He said: "I just want to actually get us a proper Brexit so we can be an independent country."

Read more: Farage calls on Johnson to 'build Leave alliance'

Former Tory MP Antoinette Sandbach is the latest MP to join the Liberal Democrats.

Last night she announced she would stand for the party in her Eddisbury constituency in December's general election.

She tells the BBC she joined the Lib Dems because "this is a Brexit election and this is the best opportunity to stop Brexit".

"And not only that, it’s a party that shares my values," she adds.

“The Conservatives have moved so far to the right that they don’t have my values, the Liberal Democrats do.”

The Remain-voting MP was among 21 rebels who lost the Tory whip after rebelling against Boris Johnson in a bid to prevent a no-deal Brexit.

Asked whether she would support revoking Article 50 to cancel Brexit, she said if the Lib Dems won the election there would be a "democratic mandate" for this position.

Jon Trickett, the MP for Hemsworth - where 68% of voters backed leave - is asked what Labour offers Brexit voters in his constituency, an area the Brexit Party may be targeting.

"On Brexit we're offering a Brexit deal, we know we can get one, we've already spoken to the European Union," he says.

"It will offer a Brexit where we will be out of the European Union but not in such a way it will be damaging to jobs."

He adds: "To the country as a whole what we're saying is whether you're Remain or Leave there's a route through for you for voting Labour."

BBC Politics Live
BBC2's lunchtime political programme

Image source, EPA

Brexit Party MEP Ben Habib has told the BBC's Politics Live that his party will contest the election - although he won't be drawn on how many candidates it will put up.

He says the party's candidates will only stand down if "Brexit is delivered," and that the prime minister's deal is not enough.

He says the party has the funds to campaign across the country and is completely behind its leader, Nigel Farage.

His party is standing to win, he insists, and is prepared to hold both Labour and the Conservatives to account on Brexit.

Image source, PA Media

Nigel Farage effectively gave Boris Johnson an ultimatum: ditch your deal and make an election pact with us, or we will contest every seat in the election

He said the Brexit Party is offering to form a "Leave alliance" with the Tories, allowing them to get a majority in Parliament and get Brexit done

Mr Farage said the Tory leader has two weeks to form this alliance - but stressed he believed Mr Johnson should drop his Brexit deal which he has negotiated with the EU.

And if the pact doesn't happen, Mr Farage says the Brexit Party will contest every seat in Britain - with 500 candidates already ready to go.

Mr Farage's speech also revealed where the party thinks its key targets are - in Labour-held Leave-voting seats where the Conservatives have no history of being elected.

We don't know the details of the offer, for example how many seats Mr Farage would want the Brexit Party to contest. But the number 150 was bandied around, the number of seats Mr Farage believes are so anti-Conservative there's little chance they could win.

Responding to Mr Farage's speech, a Conservative source says: "A vote for Farage risks letting Jeremy Corbyn into Downing Street via the back door - and the country spending 2020 having two referendums on Brexit and Scottish independence.

"It will not get Brexit done - and it will create another gridlocked Parliament that doesn’t work”.

The Conservatives have repeatedly ruled out any kind of pact with the Brexit Party, with government minister Robert Jenrick saying earlier: "We are not interested in doing any pacts with the Brexit Party or indeed with anybody else."

Conservative MP Nadine Dorries blamed UKIP, Nigel Farage's former party, for unintentionally allowing Remain Labour and Lib Dem MPs into Parliament.

She says the only way to deliver the "best deal" for the country is to back Boris Johnson.

Alex Forsyth
Political correspondent

Image source, Getty Images

There is a point to remember. This is a relatively new party and the way the electoral system works may mean they struggle to translate any support they get into seats.

Even if they do stand against Boris Johnson in the 500 or so seats that they are promising, that could still be a struggle for the Brexit Party.

Reality Check

In his speech, Nigel Farage criticised Boris Johnson's Brexit deal.

Instead, the Brexit Party leader said he and Boris "could both go to Geneva, to the World Trade Organization.

"Under Article 24 we could leave the European Union but have several years, in fact, to negotiate the new agreement."

But it's not as simple as that, as our previous piece on how Article 24 works shows.

Alex Forsyth
Political correspondent

Image source, AFP

Nigel Farage knows pretty well that Boris Johnson isn't going to accept that offer because the Boris Johnson Brexit deal is likely to be a central part of the Conservative Party manifesto.

It's something Boris Johnson has already laid himself out there for, put before Parliament, and nailed his colours to that particular flag.

So it's very difficult for him to say at this point "OK Nigel Farage, we will work with you".

So I think we will be in a position where Nigel Farage is attempting to contest a lot of seats across England, Scotland and Wales.

Concluding his Q&A session with journalists, Mr Farage repeats a line which was in Claire Fox's speech earlier: "No-one party owns the Brexit vote".

He again stresses what he believes is the need for an election pact with the Tories.

"There's two weeks to put together a leave alliance and it needs to be done," he says.

Reality Check

Mr Farage has been talking about concentrating on a free trade agreement with the European Union.

What could that involve? Reality Check correspondent Chris Morris explains.

Mr Farage is questioned about the numbers - is the Brexit Party suggesting it fields candidates in the 150 or so traditional Labour seats in exchange for not standing in the others that are Conservative targets?

"Look, it's a negotiation," he replies.

He says he has laid out the "upper end" but is willing to discuss it with the Tories.

Reality Check

Nigel Farage has attacked Boris Johnson's withdrawal agreement.

You can read more about what is in Mr Johnson's deal here.