Cycling through parks
Does anybody know the legal status of cycling on paths in parks and commons?
As far as I can tell from some googling it largely depends on whether local byelaws prohibit cycling or not. As a result I looked up the Lambeth parks byelaws (http://www.lambeth.gov.uk/NR/rdonlyres/94D5D31B-8E0C-4FD9-B067-C5DCD22D3468/0/Byelawsforpleasuregroundsetc0405.pdf) as I am mostly interested in whether or not it is legal to cycle across a particular part of Clapham Common. However the document was largely unhelpful, basically saying "you can only cycle where there is a right of way to cycle" without actually saying where there is or isn't a right of way to cycle!
Is it ok to assume that if there isn't a "no cycling" sign on a path then it is OK to cycle there? What if you are cycling in an area which you are not familiar with which may have different byelaws?
Does anybody know anymore than me, or know of any clear guidance?