Err no - bmi already have full control of BMed and the routes including the bilateral clearances to fly to places like Iran, Kazakhstan, Russia etc will be operated under bmi branding from October. However, bmi has sold some (if not all) of the runway slots at Heathrow originally held by BMed to British Airways. It needed BA's agreement for BMed to continue operating the routes as a BA franchisee for Summer 2007 (there is a change of ownership clause in franchise agreements which gives BA the right to terminate ASAP if the ownership of a franchisee passes into "unfriendly" hands) and the price of getting that agreement was apparently selling a load of LHR slots to BA.
The BMed routes are therefore passing to bmi, but that doesn't automatically mean that the Heathrow slots currently used to fly them will follow.