The UK car industry issues its starkest warning over the risks of not being a member of the European single market.

The Liberal Democrats say Jeremy Corbyn's speech shows that Labour won’t fight for membership of the single market and the party remains divided.

Leader Tim Farron said: "The last time I saw ovations like that was Iain Duncan Smith’s Blackpool conference speech.

"Here was a quiet man turning down the volume, especially on Europe. He barely mentioned Brexit and said nothing on the importance of the single market. It is clear that the Liberal Democrats are the only pro-European party now."

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The UK defence secretary was adamant.

Britain remained firmly opposed to any move towards creating an EU army, Sir Michael Fallon said, as it would simply undermine Nato.

And yet it wasn't on the agenda when EU defence ministers met in Slovakia and barely anyone is talking about the idea. 

There are no plans for legions of Eurotroops decked out in helmets emblazoned with yellow stars on a blue background.

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The success of the UK motor industry could be "jeopardised" if the UK leaves the EU single market, a senior industry figure tells the BBC.

Unite leader Len McCluskey says he preferred Jeremy Corbyn's speech today to deputy leader Tom Watson's speech yesterday, which he says was about "a different era".

Mr Watson praised the achievements of the Blair and Brown years and told the party to stop "trashing" its record in government.

As Mr Corbyn has said he will "wipe the slate clean", Mr McCluskey says he will be "careful about my rhetoric".

Labour members, speaking outside the conference hall, describe the speech as "very good" and "very positive".

One is less impressed, however, saying there was a lot of talk of change but less talk of how that change is going to be brought about.

She is interrupted by another delegate who says Jeremy Corbyn did talk about "the practical things" - and debate ensues.

Jeremy Corbyn joins Labour members singing the Red Flag, traditional at the end of Labour conferences.

Reality Check

Jeremy Corbyn says: “We have more of our fellow citizens in our party than all the other political parties in Britain put together.”

There's a briefing on this from the House of Commons Library., external

The latest figure we have on Labour Party membership comes from July, when it was 515,000.

The Conservative Party is not a regular publisher of membership figures - its latest comes from December 2013, when it had 149,800.

Other parties have released figures more recently: The SNP has about 120,000, Liberal Democrats have 78,000, Greens in England and Wales have 55,500, UKIP has about 40,000 and Plaid Cymru has 8,273.

So the other parties put together have about 450,000, although the Conservative figures are considerably out of date.

Jeremy Corbyn ends his speech with another call for the party to work together.

"Everyone here, and every one of our hundreds of thousands of members has something to contribute to our cause.

"That way we will unite, build on our policies. Take our vision out to a country crying out for change.

"We are half a million of us, and there will be more, working together to make our country the place it could be."

"Whatever the prime minister says about snap elections, there is every chance that Theresa May will cut and run for an early election," Jeremy Corbyn tells Labour members.

"So I put our party on notice today: Labour is preparing for a general election in 2017."

That gets a rousing round of cheers and applause from the audience.

"It’s true there’s an electoral mountain to climb," Jeremy Corbyn concedes.

Labour should "focus everything on the needs and aspirations of middle and lower income voters, of ordinary families", he says, in order to beat the Conservatives.

Delegates rise to applaud the Labour leader when he says:

Following the publication of the Chilcot report, Jeremy Corbyn says it is "right to apologise on behalf of the party for the Iraq War".

The Labour leader, who was one of the leaders of the anti-war movement, attacks UK arms sales to Saudi Arabia, accusing the country of human rights violations in Yemen, declaring:

Jeremy Corbyn says immigration can put pressure on services, and attacks the Conservatives for ending the Migrant Impact Fund, which the last Labour government introduced for "areas of high migration".

He adds: "That is the Labour way to tackle social tension investment and assistance, not racism and division."

Following the Brexit vote, Mr Corbyn says: "Now we have to face the future together we are not helped by patronising or lecturing those in our communities who voted to leave."

We must respect "the decision of the British people", he says but adds: