I don't think we should use superset(or subset) to describe these three libraries(v4, v7, v13) though the simplest meaning seems backward-compatible version 4, 7 and 13.
Google added Fragment in v4 first,then update it when every new version was published.That means unless your app only support the newest version (which strongly not recommended), we need support-v4 almost anytime.Suppose your minsdk is 14 which has fragment already, but 'embedded fragment' only support after 17,so we still need v4 and use v4 fragment in that situation.
This year(2013) google published v7,and added appcompat-library in it.That means besides third support Actionbar(ActionbarSherlock) before 11, offical support maybe a better One?? Then I believe we'll have every actionbar feature update when every new version publish in future in v7.
We still need minsdk=XX (between 7 and 10) today(Nov.24,2013).We should add support-v4 for fragment and support-v7 for actionBar both for best practice.