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The EU Withdrawal Bill will return to the House of Commons for a collection of crunch votes on 12 June, it has been introduced.
The laws suffered 15 defeats in the House of Lords, which can now be debated by MPs.
Numbers are tight with the Tories needing the help of the Democratic Unionist Party for a majority.
Conservative MPs have been advised to be on web site "at all times" throughout the day of the votes.
The prime minister's spokesman confirmed there have been Lords amendments the authorities thinks are unacceptable and might be looking for to overturn.
The laws is a key a part of the authorities's technique for leaving the EU following 2016's vote in favour of Brexit.
The invoice entails transposing EU regulation into UK regulation to make sure a clean transition on Brexit day.
But friends have tried to amend it in a number of areas, together with on the customs union, the Irish border and eradicating the exact date of Brexit29 March 2019from its wording.