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IAG - International Airlines Group - News Release
I think you will find that Aer Lingus has yet to joint the JV operations and in fact the missing carrier is Finnair
Ie. The JV carriers are BA/AA/IB/AY plus former US Air Trans Atlantic operations.
The time scale for Aer Lingus to join OneWorld and for signing the JV is still to advised and currently the Aer Lingus - Atlantic partners remain United and JetBlue !
They are however codesharing with BA on Uk-Eire and select routes going East beyond Heathrow !
So right now Aer Lingus continue to compete against BA/AA