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The bill – also known as the "Repeal Bill" – will end BritainÎ„s membership of the European Union (EU) and import decades of EU law into British law.
According to the government, the bill will help businesses by giving them legal certainty after Britain leaves the union in March 2019.
But MPs in the opposition Labour Party and some members of MayÎ„s own Conservative Party have warned that the government will use the legislation to reduce MPÎ„s say over ministerÎ„s actions and the terms of Brexit as whole.
They will try and introduce 186 pages of amendments to water down the bill in the next few weeks.
These include text that would weaken the governmentÎ„s ability to dictate how EU law is transferred into British law and provisions to make sure Britain keeps certain EU labor and environmental standards.
Labour MPs have also said they will try to get a parliamentary vote on an amendment that would maintain the status quo for a transition period after Brexit.
For its part, the government wants to write in a formal leaving date, a move some lawmakers have criticized for making the timeline of Brexit inflexible.
Successful attempts by Parliament to amend the Withdrawal Bill will challenge May, who is already politically weak after losing her partyÎ„s parliamentary majority in a snap election in June. In the last few weeks, she has also lost two senior ministers in separate scandals.
The British weekly Sunday Times newspaper has reported that up to 40 Conservative MPs would vote to oust May in a no-confidence vote. MayÎ„s government is also negotiating a separate exit deal with the EU in Brussels. Little progress has been made after six rounds of talks as both sides continue to disagree on how much London owes the EU for exiting the bloc
. On Monday, Brexit Minister David Davis said that Parliament would get to vote on any final deal in what appeared to be a bow to parliamentary pressure. Read more: Brexit: UK Parliament to vote on final deal
amp/xx (AFP, Reuters)