I don't know how the Conservatives can claim to have any solid stance on Brexit, given that we all know the PM herself was enthusiastically waving the "remain" banner all through the Brexit campaign. We all know that she isn't on board with it, didn't want it, and is now just getting on with it because that's how the vote went. Any claim by her that she is all for Brexit and super-happy about all of it... is an out and out lie

.
Likewise, it's fairly evident that at his very core... Corbyn is
not pro-EU.
I dunno where this new narrative that Tories were "the Brexit party" and Labour "the remain party" ever came from... people have very short memories, I guess... many high-profile Tories, like May, were very much on the Remain bus before the vote. It wasn't and still isn't an issue that divides neatly along party lines, at all.