Sorry, but that's simply wrong.
We have a large trade deficit with the EU meaning that they export more to us than we export to them. Do you really think they would stop exporting to us?
And, if they carry on exporting to us which clearly they would, then we would carry on exporting to them. Trade is two-way!!!
I think that's wishful thinking, and its constant wishful, overly ambitious thinking that the Leave campaign is now trying to present as fact.
The shareprice of our manufacturers, service providers, and other exporters clearly show that every time a positive Leave poll is announced, the investers dump stock. Which is hardly surprising when virtually every economist with a track record is saying the same thing.
Rule No 1: Look after your own
voters first. That means giving your own industries an advantage.
Even if pigs started to fly and governments decided not levy taxes (dream on), I can tell you from the mindess, pointless training I've had too endure, exporting to non EU markets is a huge overhead, and does push up costs. If your biggest market is no longer open, free trade... ...well, anyone can see...
To get trade agreements in place, large payments (lets call them foreign aid payments) will be needed to bribe sweeten the deal... ...I wonder where that will come from? The bottomless pit of money the government has? Same dream

And it wouldn't be a single deal with EU countries, it would be 27 separate deals, each with their own restrictions, costs, procedures and rules. Each would have to be separately negotiated, and you think we'll come out the winner in most cases? We'll get bogged down in sub-deals, payments, disputes between other countries which will damage our ability to trade with those where we've sided with another country... ...you get the picture.
I am actually still undecided, but the Leave need to start showing some realistic facts. I'm currently concerned we may leave for the wrong reasons, such as a "I don't like Cameron" or "I love Farage, what he says is Gospel", rather than what is best for the UK.
A lot of pro leave comments here and elsewhere is naοve 'dangle berries' with no grounding in reality