This is an important article by Toby Helm, Political Editor, published in the Guardian. He reports that cross-party alliance are demanding to be consulted over future trade decisions, saying referendum was on EU membership, not single market.
Source: MPs demand vote on hard Brexit plans for UK to leave single market | Politics | The Guardian
This is powerful stuff with cross-party MPs ready to challenge Theresa May‘s executive authority. We can expect big business to weigh in wanting to block a Hard Brexit. It is also likely that the unions will pitch in favor of Soft Brexit. Party whips will potentially be undermined by cross-party pressure. Many UK voters are uncomfortable with Theresa May’s lurch to the right and proposal to bypass parliament in terms of Brexit negotiations.