The Daily Politics

Cat Smith, shadow minister for voter engagement and youth affairs, says she thinks Labour's leadership election "could be quite healing" for the party - saying it had made a difference to the Tories.

On PMQs, she says Theresa May's style was "quite refreshing" and welcomed the move away from "flashman Cameron". But she says she'd question Mrs May's judgement on appointing Boris Johnson as foreign secretary.

The Daily Politics

Housing, Planning and London minister Gavin Barwell says Mrs May's performance showed the Conservatives had "picked the right person".

"For a first performance at Prime Minister's Questions there was a great deal of detailed knowledge there."

She also drew a "clear political contrast" between Labour "fighting amongst themselves" and the Tories "getting on with governing".

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Parliament

Home Secretary Amber Rudd says "it would be a mistake" to take the decision today.

The Conservatives "have not been slow" to implement other inquiries into other historical issues, she says - referring to the inquiries into Hillsborough and historical child sex abuse. 

"It is because I take it so seriously I am not going to rush it."

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Andy Burnham calls on the home secretary to announce an inquiry into Orgreave today.

The shadow home secretary says he promised the Hillsborough families the "full truth about the 20 year cover up. They wont have it until after Orgeave."

An "unexpected announcement" in the House of Lords now means that will be "substantially delayed".

This was a "misleading impression given to Parliament" and says a clear message, announcing an inquiry today, will help settle any worries that the Home Office are trying to "shunt a controversial issue into the long grass".

The Daily Politics

Giving his verdict on the Commons clash, BBC deputy political editor John Pienaar says Theresa May's performance was "fluent" and "confident" - with "one or two notes that echoed" of former Tory PM Margaret Thatcher. He thought Labour leader Jeremy Corbyn did "reasonably well in the circumstances".

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Home Secretary Amber Rudd appears to stand by the comments of her colleague Lord Keen.

She says an inquiry into Orgreave is "one of the most important issues in my in-tray", and offers to meet campaigners and Andy Burnham to discuss the issues.

She says she hopes to come to a decision "soon after the summer recess".

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Lib Dem leader Tim Farron has the last question to Theresa May, and he's greeted with some less than enthusiastic murmurs as he gets to his feet. "You're all very, very kind," he quips, self-deprecatingly.

He challenges the PM over the cost of the new Brexit department. Mrs May says it's right to have a dedicated department for the UK's EU exit, and adds that it will need to have the necessary "expertise".

She finishes with a joke at Mr Farron's expense - referring to his mention of the days when they stood against each other in a North East by-election in the 1990s - saying that they were both now party leaders although "my party is a little bit bigger than his is".

As she sits down to cheers, Mrs May lets out what appears to be a little sigh of relief that her first PMQs was over...

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Image source, PA

Shadow home secretary Andy Burnham has been granted an urgent question on an inquiry in the Orgreave miners clash.

Mr Burnham is looking for clarification on the government's position after Home Office Minister Lord Keen of Elie told the House of Lords last week that no formal decision will be made until the IPPC and CPS decide whether Orgreave material is relevant to ongoing Hillsborough investigations.

But Andy Burnham argues Lord Keen may have misled Parliament.

In a statement seen by the BBC, the police watchdog has confirmed to Labour that the minister’s statement was incorrect and that a public inquiry was a decision for the Home Secretary.

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Philip Davies, serial Tory rebel, jokingly apologises to Theresa May for having his mobile phone off and missing her call inviting him to join her new government.

He goes on to seek assurances that Brexit will mean lower immigration, to the "tens of thousands". Mrs May, in reply, says the Brexit vote in June sent a "very clear message" that people want control. "And that  is precisely what we will be doing," she adds. She says she is firm in her belief to get net migration down to "sustainable levels" - which she says is tens of thousands - but says it will take "some time to get there".

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Barry Sheerman, Labour MP, uses his question to urge the PM to set out her Brexit vision, saying younger generations are concerned about the future.

Theresa May stresses once again that the UK is not leaving Europe, just the EU. But she adds "we shouldn't be limiting their opportunities and their horizons by just looking at Europe", saying that the UK has an opportunity to be more "outward looking and expansive" across the world.

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In response to a question from Conservative backbencher Stuart Andrew, who says only the Tories can deliver "real social mobility", Theresa May agrees, saying: "It is this party that is looking at opportunity for all... I'm very clear the government I lead won't be driven by the interests of the privileged few."

Reality Check

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Jeremy Corbyn says: "In 1998, more than half of working households of people aged 16 to 34 were buying their own homes. Today, the figure is 25%."

The claim is based on analysis by the Resolution Foundation. It said in February, external that owning a home was set to become a “pipe dream” for young people.

The analysis refers to home ownership among the under 35s, which it said has fallen from 57% in 1998 to 25% in 2015.

UK house prices have been rising faster than wages for several years, making it increasingly expensive for people who want to buy their own home.

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Imran Hussain, a Labour MP, quotes Theresa May as saying she would lead a government that works for "every one of us". He wants to know whether the Northern Schools Strategy is to continue, saying children in Bradford and the north "need the same chances as those in London and the south".

Mrs May says it's important children get the opportunities they deserve. She assures him that the education secretary would be looking very carefully at the results of the review that has taken place, and will make the government's position clear in due course.