In set theory, a set is a superset if it contains everything in the original set and possibly more. A subset however is does not contain everything of the initial set.
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A superclass defines a class that has a larger set of possible values as members. A subclass restricts the items that can be part of its class, so it defines a smaller set of possible members.
The set of possible members of a superclass is a superset of the set of possible members of a subclass of that superclass.