The EU has two separate provisions: - The Schengen agreement, i.e. no border controls between countries - The fundamental right to free movement for citizens

The EU has two separate provisions: - The Schengen agreement, i.e. no border controls between countries - The fundamental right to free movement for citizens of the EU. There are countries where Schengen applies (you can go without visa or with the same visa as the rest of the EU, there is no border control for people normally), but there is no right to live there automatically (Switzerland). There are countries without Schengen so there are border checks, and the visa system for foreigners is separate, but EU citizens still have the right to live there (Ireland).