Earlier, other Conservative leadership contenders clashed over Brexit.
Now that Theresa May has announced her resignation as Prime Minister, many people are asking if there will be a General Election.
A tearful Theresa May announces her plans to resign. "I do so with no ill will but with enormous and enduring gratitude to have had the opportunity to serve the country I love".
Speaking in Dublin after voting in the European and local elections, Mr Varadkar said: "Obviously as anyone can see, British politics is consumed by Brexit and will be consumed by Brexit for a very long time". But Ms Sturgeon issued a stark warning about the impact on Scotland of such a scenario.
The Work and Pensions Secretary, 55, has refused to rule out running and said she is "keeping the door slightly ajar" to the possibility. "I believe it was right to persevere even when the odds against success seemed high", she said.More news: Militants in Syria launch attack, have toxic agents - Russian Federation claims
The Times says the leadership contest could "plunge the nation into a constitutional crisis". "It is now clear to me it is in the best interests of the country for a new Prime Minister to lead that effort".
Sterling swung back and forth on May's resignation, and British government bond yields edged off near-two-year lows struck first thing on Friday.
The Tory hierarchy promised that members and non-members would get the chance to question the would-be prime ministers during the election process.
The opposition Labour Party said it wanted an election as soon as possible. Cabinet ministers resigned in droves and Ms.
She insisted she had "done my best" to deliver Brexit and take the United Kingdom out of the European Union. She will remain as Premier until her successor is chosen.
Bookmakers have the West Suffolk MP at 50/1 for the top job.More news: What lies ahead for UK after May's resignation
The Prime Minister's June departure, which had been widely anticipated, sparks a leadership race in her party, with Boris Johnson the front-runner.
Photo credit should read: Dominic Lipinski/PA Wire Prime Minister Theresa May leaves after making a statement outside at 10 Downing Street in London, where she announced she is standing down as Tory party leader on Friday June 7. Johnson noted that a majority in the Parliament has voted to renegotiate the backstop.
Politicians in her party and overseas paid tribute to her determination.
"I do think it went wrong nearly immediately because she made the decision to go for a much harder Brexit than would have been necessary to pull the country and indeed parliament together behind her", said Dr. Bale.
He said: "She didn't start by levelling with people about the trade-offs".
The party's divisions over the European Union have led to the demise of its last four prime ministers - Mrs May, Mr David Cameron, Mr John Major and Mrs Margaret Thatcher - and there is little indication these schisms will be healed soon.More news: Footage of Mario Kart Tour gameplay leaks online
Former prime minister David Cameron offered his sympathy to Mrs May, saying "I know how painful it is to accept that your time is up and a new leader is required".
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