Wales' first minister Carwyn Jones vows to continue pushing for "full and unfettered" access to the EU single market.

Free movement of people from across Europe "is something the British people won't accept and can't accept", says Welsh Secretary Alun Cairns.

House of Commons
Parliament

Former shadow business secretary, Labour's Chuka Umunna, says that the UK trading with the EU under World Trade Organisation (WTO) rules will be "vastly inferior" to our current arrangements.

WTO trading rules would impose tariffs on goods such as 10% on cars, 13% on clothes, and up to 40% on agricultural produce, Mr Umunna tells MPs.

He asks for David Davis to be "absolutely clear" that the prime minister's commitment to an interim arrangement rules out the government leaving the EU with no deal at all.

Doing so and trading on WTO rules would be "very damaging" for jobs and businesses in this country, he says.

Mr Davis says that a bad deal is worse than no deal, and tells MPs that if you walk into a negotiation with no other option "you won't do very well". 

There continue to be a great many MPs rising to try to catch the Speaker's eye, and ask a question of Brexit Secretary David Davis.

Former deputy prime minister Nick Clegg, now the Lib Dems' Europe spokesman, is not impressed.

He says Theresa May has "turned her back on Margaret Thatcher's greatest economic achievement, the world's largest borderless single market", adding: "It’s an astonishing mutation from Conservative into UKIP-light."

House of Commons
Parliament

Veteran europhile Conservative MP Ken Clarke says that it is his understanding that negotiations on free trade agreements and customs unions between countries mean that both parties agree to be bound by sets of rules that neither will change.

Any arrangement agrees to submit to some means of resolution of disputes and arbitration, he says.

"What I don't understand", says Mr Clarke, is which country in the world is going to enter into a trade agreement with the UK where the rules are "entirely what the British say they will be on any particular day" and if there is any dispute about the rules it will be sorted out by the British government.

Brexit Secretary David Davis responds that of course there will be disagreements but says these will be arbitrated by an organisation that is agreed between the UK and another country.

House of Commons
Parliament

Green MP Caroline Lucas says that the government is threatening to turn the UK into a corporate tax haven "floating off on the edge of Europe" - and warns that this is not what people voted for in the referendum. 

"Nor did they vote to wreck our environmental protections," she says. 

She calls for a new environmental protection act so that vital safeguards of nature are not quietly dropped or bargained away in a rush to conclude new trade deals, as the UK leaves the European Union.

Mr Davis tells the House of Commons that the proposed Great Repeal Bill, which will come before MPs as Britain prepares to leave, aims to incorporate all existing environmental protections into UK law, and that anything thereafter will be for the UK Parliament to decide - "something that hasn't been true for about 40 years", he says.

Here is what CBI director general Carolyn Fairbairn made of Theresa May's speech:

The PM's speech was about an "extreme version of Brexit" says the Liberal Democrat leader.

BBC Monitoring
News from around the globe

"Brexit: a complete rupture has come closer," warns Hungarian financial news website Napi.hu.

"The British government is making no effort to ensure that Britain will remain in the single European market, but is trying to achieve the fullest possible access to it in the Brexit negotiations… This could be regarded by the EU member states as an ultimatum and brings closer the possibility of Scotland's secession from Britain."  

"May warns the EU against 'punitive' reaction regarding Britain," says Polish news portal Fakty Interia.

Still in Poland - which has been one of the main sources of migrant labour in the UK - TVN24 channel focuses on Theresa May's pledge to bring migration from the EU under control.

"'We want to control migration," the paper quotes the UK leader as saying.

In Croatia - the youngest member of the bloc, a comment posted on the popular Index.hr portal warns that "Britons are going to regret their decision once goods from the EU become subject to taxation and selling anything on the EU market becomes difficult." 

In Serbia - another country in the region aspiring to join the bloc - Politika newspaper notes that Mrs May "has yielded to pressure," promising that the parliament will get to vote on the final Brexit deal. 

This chart shows how the pound moved in the build-up to the PM's speech, including a rise when she confirmed Parliament would be given a vote on the final Brexit deal:

And this one puts those movements in the context of the movements since the referendum in June:

House of Commons
Parliament

Prominent Labour Leave campaigner Kate Hoey says the prime minister's speech gave certainty to millions of Labour voters who voted to leave the EU.

She asks the government to assure MPs that negotiations about trade deals with other countries will continue, so we are "ready to go" when we leave the EU.

Mr Davis responds that the UK is currently constrained by "the duty of sincere cooperation" which requires the UK to not do things that will jeopardise the actions of the EU, such as interfering with trade deals the EU is making.

He goes on to say to the Commons that he has a "strong suspicion" that the government will have lots of things to sign "that very next day" after leaving the EU. 

House of Commons
Parliament

Labour's Pat McFadden says that the prime minister's speech, outlining the plan for the UK's exit from the EU, is "a result of what you get when you allow immigration policy to dictate economic policy" - instead of considering them together.

Mr McFadden tells MPs that the government set out a plan to leave the EU but had no plan to retain access to the single market.

He asks: what was the assessment of the impact of the speech on jobs, trade and prosperity in the UK?

Mr Davis says that the referendum campaign was not principally about immigration, but rather was about control of the country. 

He assures the House that the economic future of the country, the country's security and its sovereignty were all "squarely in our sights".

House of Commons
Parliament

Labour MP Yvette Cooper calls for an assurance that the government will not "rip up workers' rights as soon as the negotiations get difficult".

Brexit Secretary David Davis tells her: "There is no circumstance under which we will rip up workers' rights."

House of Commons
Parliament

UKIP's Douglas Carswell says that security arrangements with the EU should be decided by "bilateral treaties" and not supernational agreements "in which the UK is a supplicant".

"We're not the supplicant in this negotiation," says Brexit Secretary David Davis, arguing that the UK is crucial to the defence of Europe.

House of Commons
Parliament

Former Labour leader Ed Miliband says the prime minister has indicated it will "take more than two years to have a trade deal with the EU ready to go" and asks what arrangements will be in place straight after the UK leaves.

Former shadow foreign secretary Hilary Benn, who now chairs the Commons' Exiting the EU Committee, says the PM wants "continuation of tariff-free and barrier-free trade".

He asks about customs union membership - but Brexit Secretary David Davis says the government will "abide by the instruction" of the people in the referendum to leave the EU.

Single market membership is incompatible with that, he tells MPs.

Scottish First Minister Nicola Sturgeon says the direction set out in Theresa May's speech is "not in our national interests".

She added: