The Dilemma of Parliament Ignoring the EU Referendum

To leave the European Union, a vote has to be conducted by the parliament. So they're going to have to vote against their own will and follow the will of this referendum. There's no way that the parliament just ignoring the referendum is anything other than anti-democratic. It would be a very hard case for any MP to say, well, I didn't vote for it, even though there was this result"