That's all from us on the BBC live page after a night when the government's proposals left few happy - but did at least appear to leave Britain with a united cabinet.

You can read the full story of the cabinet's collective agreement here...

...and you can read analysis from our political editor here.

Arch-Brexiteer Sir Bill Cash tells Evan Davis on Newsnight he is "deeply disappointed" by tonight's proposals. And he has "grave doubts" that the EU negotiators will accept them.

As you would expect, tomorrow's newspaper front pages differ in their understanding of this evening's revelations.

The Guardian's headline suggests ministers have "no clue" while the Telegraph praises May's "victory".

The Daily Star, meanwhile, decides the Brexit news is not even worthy of its front page, preferring instead to focus on the potential shortage of bananas, which it calls "our yellow curvy favourite".

You can see all of tomorrow's front pages here.

Meanwhile, remain-voter Dominic Grieve tells BBC 2's Newsnight: "If the government can achieve the same result as being in the customs union through negotiation by another means, then that would be a possibility."

...but it's got nothing to with the UK's Brexit plans.

Cabinet unity may be cause for celebration in the UK - but in Belgium most of the population seems preoccupied with their national team beating Brazil in the World Cup.

Former No 10 director of communications and David Cameron hire Craig Oliver isn't impressed by tonight's cabinet agreement.

Labour MP Chuka Umunna, a supporter of the People's Vote campaign for a referendum on the final Brexit deal, is another who seems unhappy with tonight's announcement.

He complained the UK has been "left with yet another behind-closed-doors stitch-up that would leave us all worse off and which doesn't resolve many of the fundamental problems created by Brexit".

He added: "This only confirms how important it is that we have a People's Vote on whatever botched Brexit deal the government comes up with, so the people of this country can decide whether or not it's good enough."

The cabinet has reached a "collective" agreement on the basis of the UK's future relationship with the EU after Brexit.

Ministers have signed up to a plan to create a free trade area for industrial and agricultural goods with the bloc, based on a "common rule book".

They also supported what could amount to a "combined customs territory".

You can read full details of tonight's Chequers statement here.

The BBC's Laura Kuenssberg says cabinet members are starting to leave the prime minister's country house in their ministerial cars. A taxi company was on standby during the day for any ministers who decided they couldn't accept Mrs May's proposals. As it happened, none were needed.

Liberal Democrat leader Vince Cable says that while Brexiteer ministers may have signed up to the proposals, they might still be hoping to get "their hard Brexit served on a plate".

This from Times journalist Sam Coates, who has spotted a not-so-veiled warning in the PM's letter....

Tory MP Andrea Jenkyns, who quit as a ministerial aide earlier this year to campaign against a soft Brexit, has expressed reservations, tweeting:

For those curious as to how cabinet members sustained themselves during today's talks, lunch consisted of BBQ chicken thighs, a "wheat-beets-squash" salad and feta, a Chequers estate new potato salad, estate-grown mixed leaves with summer tomato salad and pomegranate dressings. Pudding: Chequers scones with clotted cream and estate strawberry jam, Graham's sticky tea loaf and a fruit platter. Followed by a formal three-course dinner this evening.

Image source, PA

The Daily Telegraph, which campaigned for Brexit, says the plan appears to be "a significant victory for Remainers in the cabinet, as it keeps Britain closely aligned with the customs union and single market".

As with Mr Barnier, Labour's shadow Brexit minister Keir Starmer seems to be reserving his judgement until the White Paper is published.

He tweeted: "Let’s wait to see the detail; and whether it survives contact with Tory MPs & members. Lots of obvious gaps."

Image source, PA

Here's the cabinet in today's meeting at Chequers. While Mrs May talks, Brexit Secretary David Davis can be seen staring at a folder full of notes, with his back to the Prime Minister

Image source, PA

The prime minister may have won over her cabinet, but the Daily Mail claims a soft Brexit could cost the Tories the next election.

The paper says voters will "desert her if her deal goes too far".

The former UKIP leader condemns the proposals as a "sell out". And he isn't complementary about his fellow Brexiteers in the Tory party either.

First reaction in from the CBI's Carolyn Fairbairn: "Business will welcome the fact the government has reached agreement. This is a genuine confidence boost and the prime minister deserves credit for delivering a unified approach."

The first reaction is in from the EU's chief negotiator, Michel Barnier, who says he and his colleagues will now discuss whether the UK's proposals are "realistic".