-
On a serious note you should consult a party wall specialist. Not to cause trouble or anything like that but it has the potential to make life easier for both you and your neighbour in the short term if the process is handled formally. Also it could resolve future problems for either you or your neighbour in the future, if one of you sells and the new neighbour decides the boundary line is not right it could be a real arse ache for the one of you still living there.
Also, is it going to have a roof or gutter which will overhang the wall?