I have heard those called "core beliefs," rather than "core values." I think "core beliefs" was Aaron Beck's terminology. His theory is that people with depression tend to have a set of really deep beliefs that either fall into the area of "I'm unlovable" or the area of "I'm incompetent."

My core beliefs always fall in the "I'm unlovable" camp. I'm reasonably sure that I am intelligent and competent enough in most things, but I have this deep fear/belief that people just don't like me. It is still there after years of therapy. However, I would say that when I first went to therapy it was active about 75-90% of the time, and now it is only about 25% of the time.

I'm probably at least as "therapized" as you. I'm not quite ready to call it hopeless yet though. I keep thinking there has to be something that I haven't tried yet. Maybe if we ever figure it out we can write best selling self-help books and make millions of dollars.