The European Single Market is (obviously) a Single Market.
Are Single Markets also free trade areas?
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Sign up to join this communityFree trade area means there's no customs checking goods traded within that area.
From Wikipedia:
The European Single Market, Internal Market or Common Market is a single market which seeks to guarantee the free movement of goods, capital, services, and labour – the "four freedoms" – within the European Union (EU).
So goods are traded freely within the EU, and hence EU is an FTA.