Http to https without redirecting to client.

Use case:

client----------->f5------------->server https ^ https | http | | Proxy

1) Client contact server which is https. 2) It goes through my proxy. 3) client to f5 will be https, f5 <----> proxy is http. 4) Later i need to rewrite http to https to send traffic to server but redirecting will not help here because again client browser starts from step 1, there will be loop.

I you need any more information please let me know.