Es sollte bekannt sein, dass mir an ihr liegt ... und dass ich Leute rette, an denen mir liegt.
I understand that "liegen an" has a meaning of "something is important to someone" or "something matters to someone". And I usually see this phrase used with the (dummy?) subject es and the (real?) subject viel/wenig/nichts.
Es liegt mir viel an meinem Beruf. = {literally: "a lot lies on my job for me"}
In the example sentence, on the other hand, the absence of both es and viel has me puzzled, and I'm not sure what to make of its construction. Is it usual to omit the parts es and viel like this?