In her much-anticipated speech in London today, May also said that the both houses of the British parliament will vote on any final Brexit agreement, amid pressure from lawmakers to have more say over leaving the 28-nation economic bloc.
"I can confirm that the government will put the final deal to a vote in both houses of parliament before it comes into force," she said in the landmark 40-minute long speech.
Asserting that British people have voted for change six
months ago for a "brighter future" with their eyes open, not just to leave the EU but to embrace a wider world, May said she wants the UK to be "fairer, more secure, united and outward looking" as a result of Brexit.
"Brexit must mean control of the number of people coming from Europe, and that is what we will deliver. What I am proposing cannot mean membership of the single market," May said, laying out her plan on immigration.
But the prime minister promised to push for the "greatest possible" access to the single market following Brexit.
"We will continue to be reliable partners, willing allies and close friends. We want to buy your goods, sell you ours, trade with you as freely as possible, and work with one another to make sure we are all safer, more secure and more prosperous through continued friendship," she told the other 27 EU member states.
"We do not seek to adopt a model already enjoyed by other countries. We do not seek to hold on to bits of membership as we leave," May added.
Her 12 objectives broadly covered aspects of certainty; control over own laws; strengthening the union; maintaining the common travel area with Ireland; control of immigration; rights for EU citizens in Britain and British nationals in the EU; protecting workers' rights; free trade with European markets; new trade agreements with other countries; making UK the best place for science and innovation; cooperation in the fight against crime and terrorism; and smooth and orderly Brexit.
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