Politicians from every party told the country that we would be out of the single market though.
I’d be surprised if you can find many of the Brexit protagonist’s saying that, certainly before the referendum. Cameron and the remain said it often and I believe it was called ‘project fear’.
A few examples, apologies for length of post.
“Absolutely nobody is talking about threatening our place in the Single Market” Daniel Hannan MEP
“Only a madman would actually leave the Market” Owen Paterson MP, Vote Leave backer
“Wouldn't it be terrible if we were really like Norway and Switzerland? Really? They're rich. They're happy. They're self-governing” Nigel Farage, Ukip leader
“The Norwegian option, the EEA option, I think that it might be initally attractive for some business people”- Matthew Elliot, Vote Leave chief executive
“Increasingly, the Norway option looks the best for the UK” Arron Banks, Leave.EU founder
"I would vote to stay in the single market. I'm in favour of the single market." Boris Johnson. Mind you, he said this in 2018
“EU citizens living in this country will have their rights fully protected, and the same goes for British citizens living in the EU.
“British people will still be able to go and work in the EU; to live; to travel; to study; to buy homes and to settle down. As the German equivalent of the CBI – the BDI – has very sensibly reminded us, there will continue to be free trade, and access to the single market.
“Britain is and always will be a great European power, offering top-table opinions and giving leadership on everything from foreign policy to defence to counter-terrorism and intelligence-sharing – all the things we need to do together to make our world safer.”
“Britain would be able to trade in the European Free Trade Zone that stretches from Iceland to Turkey - this includes countries like Bosnia, Serbia and Albania” M..Gove
“When we get to the referendum, I hope it is a real debate about everything that Europe offers. You mentioned quite a few of those things: I would add the single market and single trade policy to that,” he told the devolved legislature at the time.
“Although estimates vary about how much wealth the single market generates for the UK, since we joined, it’s probably in the order of five, six, seven, eight per cent uplift to GDP.
“For somebody on an average salary that’s about £1,500 a year. Most people think that that’s worth having. I think when you put it in those terms, there’s a very clear benefit, that because we don’t see it every day, we’ve kind of forgotten about it but it is there and we’d begin to lose it if we weren’t part of it.” David Frost.
“My preference would be that we should remain within the customs union of the EU [even though we would] give up some freedoms in terms of negotiating our trading arrangements with third countries,” he said.
“The advantage would be that our manufacturers would not face complex and punitive rules-of-origin tariffs.” David Davis.