Difference between ssl inspection and proxy based ?

Hi, 

what is the difference between the proxy mode and ssl deep inspection because i am under the impression that both of these features have same working principle which is man in the middle, this means that the first packet is intercepted and the two sessions are created one from FGT to client and the other from FGT to server. is my perception wrong ? Because for deep inspection it surely works like the same way but for proxy mode most of the material which I study also shows that the proxy mode also works like man in the middle.