The European Union (Withdrawal) Act 2018 encodes the mechanism for UK withdrawal from the EU.
But given that it required agreement from the EU (did it), does it also have a treaty component, or correspondent in EU law?
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The European Union (Withdrawal Act) 2018 is not a treaty, and is primarily concerned with necessary modifications to UK domestic law so that:
Due to mutual mistrust between the government and parliament it also required parliamentary approval for any withdrawal agreement.
I'm not aware of any direct EU equivalent, nor do I understand any to be necessary. The EU treaties had already been written to allow the EU membership to change, so generically apply to member states rather than to specific named parties. As such nothing implies that EU law, or its rights or duties would continue to apply to an ex-member.
In general, the UK has traditionally taken a very dualist approach to international law. That is to say, international law is taken to be a matter for the government, while only applying domestically if Parliament said it did. As such, there is no mechanism for the EU to directly interact with any Act of Parliament, although the government in power could be placed in a very difficult position by an Act which wasn't in line with its treaty commitments. To some extent this had been beginning to change, with judges beginning to make some reference to international human rights laws.