Web services https, digital certificate



I have a web flex app. I have this web app secured, requesting digital certificate each time a user wants to access the URI (server side configuration).

From this flex application:

1. Can I access web services through Livecycle DS using HTTPS?

2. In this scenario, If 1. is true, can I access a https web service which requires a digital certificate to connect?

3. If 2. is true, can I use previously used digital certificate (which I used to get access to flex app) to be automatically used for a https web service call?

Thank you in advance,