Corbyn tried to attack May despite her issuing a statement to say she was disappointed
Mr Corbyn criticised the US withdrawal from the Paris Accord was “reckless and dangerous”.
He said: “The commitments made in Paris are vital to stop the world reaching the point of no return on climate change, and there can be no question of watering them down.”
She has instead opted for silence and, once again, subservience to Donald Trump
The Labour leader was quick to criticise Mrs May’s decision to not join the leaders of Germany, France and Italy in a joint statement defending the Paris Agreement.
He added: “Why does Theresa May not have her name on this joint statement?
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“Given the chance to present a united front with our international partners, she has instead opted for silence and, once again, subservience to Donald Trump.
“It is a dereliction of her duty both to our country and to our planet.
“That is not the type of leadership Britain needs to negotiate Brexit.”
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Italian prime minister Paolo Gentiloni, German chancellor Angela Merkel and French president Emmanuel Macron urged all their allies to speed up efforts to combat climate change and said they would do more to help developing countries adapt.
After the call between Mrs May and President Trump last night a Downing Street spokesman said: “The Prime Minister expressed her disappointment with the decision and stressed that the UK remained committed to the Paris Agreement, as she set out recently at the G7.
“She said that the Paris Agreement provides the right global framework for protecting the prosperity and security of future generations, while keeping energy affordable and secure for our citizens and businesses.
“The President made clear that the door remains open to future US involvement in the Agreement.
“The Prime Minister and President agreed on the importance of continued cooperation on wider energy issues.”
EU leaders were quick to disagree with Donald Trump about his decision to pull out of the agreement
Mrs May confirmed the UK are committed to the climate change agreement when asked later on BBC's Question Time.
She said: “I have spoken to Donald Trump and told him that the UK believes in the Paris agreement.”
The statement came after President Trump announced Thursday that the US would withdraw from the Paris climate change accord.
Macron and Merkel were quick to sign a statement condemning Trump's actions
Mr Trump said that he was open to renegotiating the deal or creating a new agreement “on terms that are fair to the United States, its businesses, its workers, its people, its taxpayers”.
The Paris Accord is a 2015 agreement signed by 195 countries with an aim to reduce carbon emissions and combat climate change.
Only two other UN nations, Syria and Nicaragua, are not part of the agreement.