Speaking at Welsh First Minister’s Questions, Mr Jones reiterated that “a promise was made” by certain Brexiteers that the same level of funding would be kept.
The UK’s Supreme Court has ruled the Government cannot trigger Article 50 without passing an Act of Parliament first.
MPs and unelected Lords will now be given a vote on whether the Government can begin the formal process of Britain leaving the UK.
Carwyn Jones reiterated the promises which were made by certain Brexiteers
I expect that promise to be honoured
Mr Jones was asked by Labour AM Julie Morgan whether he would emphasise to the Prime Minister that replacement funding would be at least equal to lost EU funding. Also, that the funding must be under Welsh Government control.
The Labour First Minister said: “Well a promise was made by some in the campaign last year that Wales would not lose out a penny if Wales lost the European Union.
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“I expect that promise to be honoured if not, then the people of Wales have every right to ask why, they were, if it is the case that this is true, misled.”
Mr Jones and Plaid Cymru’s leader, Leanne Wood, have said they want “continued participation” in the EU’s trading bloc once Britain’s divorce is complete.
The Prime Minister vowed to pull the country out of the single market and stop “huge” annual payments into the EU budget.
But, previously speaking on Radio 4’s Today programme, Mr Jones disagreed with Mrs May, claiming a vote to leave the bloc did not mean leaving the single market.
The Labour politician said he “disagreed” with Mrs May’s speech, but would still honour the result, although it did not necessarily mean a 'hard' Brexit.