Papers have been filed with the High Court here by a group who want the court to refer issues relating to Brexit to the Court of Justice of the European Union.
Leaders of the Green Party in England, Wales and Northern Ireland have been named as plaintiffs in the proposed application.
They are hoping the court will hear the application for a reference in March or April.
Jolyon Maugham QC, the British lawyer who initiated the proceedings, said he would be joined as a plaintiff in the case by the leader of the Green Party in the North, Steven Agnew, MLA, a co-leader of the Green Party of England and Wales, Jonathan Bartley and Green Party MEP for the South East of England, Keith Taylor.
The Green Party campaigned for "Remain" vote in the Brexit referendum.
The plaintiffs want to clarify if Article 50 can be revoked by the British Government, once it has been triggered, without consent from all other EU member states.
In a statement, Mr Agnew said the case was all the more important following the ruling by the Supreme Court in London earlier this week that devolved administrations in the North, as well as in Scotland and Wales had no legal right to have a say in the negotiations with the EU.
He said the unique status of Northern Ireland was being ignored.
Mr Bartley said the case was about giving the public in Britain and Northern Ireland a "legal safety net". He said the British people must know what options the country really had.
He said they would be asking the courts, if the British Government would be able to revoke Article 50 if things went badly wrong or if the country was being driven over a cliff edge.
He said they wanted the British people to be able to choose between accepting British Prime Minister Theresa May's vision of extreme Brexit or rejecting it.
The costs of the litigation were crowded funded by Mr Maugham, largely from small donations.
A legal document, called a plenary summons has now been filed with the High Court office here.
The action is being taken against Ireland and the Attorney General. Mr Maugham has previously said they intend to argue that the state is in breach of EU treaties by excluding the UK from EU summit meetings