A spokesman for Mr Corbyn said Mr Coyle was reported for "consistently abusing" party staff members.
He said Thursday that the election was about "what kind of country we want to have after Brexit". "We respect and accept the result of the referendum but there still has to be an economic relationship with Europe".
Speaking at Prime Minster's Questions, she added: "I will be asking the British people for a mandate to complete Brexit and to make a success of it".
Corbyn said: "At the very, very top end we won't be cutting corporation tax, which is what the Tory government have been doing and we won't be giving back £70bn to the biggest businesses, corporations and the very wealthy".
Green Party co-leader Caroline Lucas said Mr Corbyn was letting down Britain by refusing to back a second referendum.
Mr Corbyn tried to hit the Prime Minister with a record of falling incomes, rising hospital waiting times and growing child poverty, but the blows didn't land.
Nearly exactly 20 years since Tony Blair led Labor to the first of three consecutive election victories, the party is languishing in the polls ahead of the June 8 vote.
"They are yesterday's rules, set by failed political and corporate elites we should be consigning to the past".
Downing Street knows they will take a certain amount of flak for the decision not to play ball, and the opposition parties are of course relishing every opportunity to say that the PM is too frightened to defend her record.
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"In a sense, the establishment and their camp followers in the media are quite right. And if a Labour Government is elected on 8 June, then we won't play by their rules either".
He will say the "rules" of the Establishment have created "a cosy cartel which rigs the system in favour of a few powerful and wealthy individuals and corporations". "We will overturn this rigged system".
His speech was the first in Labour's election campaign, which started today.
He claimed she didn't want to take any "unnecessary risks", and while it would have been tempting to take Labour to "the cleaners", the last thing the Prime Minister would have wanted is a disastrous Brexit deal shortly before the scheduled 2020 election.
Polling conducted in the aftermath of the 2015 general election found that voters in the English marginal seats that decide the election backed the Tories in part because they anxious about a SNP and Labour coalition.
The previous day Ms Davidson argued that Labour and Lib Dem supporters should vote tactically for her party to stop a second independence referendum and preserve the UK.
It comes as 10 Labour MPs announced they would not be standing for re-election, including former shadow home secretary Andy Burnham.
Last year's vote to leave the European Union split Labour's traditional supporter base, which is divided between typically pro-EU inner city voters, especially in London, and working-class voters in less affluent areas who voted in favour of Brexit.
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