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I can't understand the degree of retardation that is evident in OP's thinking. I just can't. Here, watch me try.
First, countries that don't have the means to defend themselves (either their own army, or a defence treaty with someone with an army) will lose sovereignty. Examples simply aren't necessary, this is axiomatic.
Second, armies are very expensive to build up and maintain.
Third, if you don't have your own standing army, and you have a defensive treaty with someone with an army (say, America), then someone else is paying for your defence.
Fourth, if you don't pay for that defence, you're getting it for free.
Fifth, if you don't have to pay for things that are necessary for the maintenance of your country's sovereignty, you have extra money to spend elsewhere.
Sixth, literally no one in the EU pays anywhere near their fair share for their defence. And most EU countries spend a fortune on socialized health care.
Seventh, if the EU had to pay for its own defence, if would have less money to spend on socialized health care.
Europe is Russia's back yard. They'll never be able to come up with a standing army or for the US' defensive services AND their extravagant socialized health care at the same time (you know, just like the US can't afford to do it). Europe has a choice: become to Russia as Canada is to America, or give up the socialized health care.
Is the reasoning clear yet, OP? How was it not immediately obvious?