Okay, in short, pretty much every thing on the link you sent indicates that Bromley is part of London, it has the same police/fire/ambulance services. It is clearly situated within the greater London perimeter, any claim to independence has no real grounds.

I’m not sure why you think it isn’t part of London?

I think though, part of the problem is that with “London” you basically have two things.

London City, which is in actual fact tiny, and makes up the VERY centre.

You then have Greater London, which is massive (population around 10 million I think). My belief is that when most people talk about “london” they tend to mean greater London as opposed to the City of London.

Greater london shares police, ambulance, fire services, public transport etc etc.

http://en.wikipedia.org/wiki/London_Borough_of_Bromley

So I would say Bromley IS in London, though it may be a city in it’s own right.