Subset
21-01-24–21-06-12
Definition
A set \(S\) is a subset of a set \(T\) if and only if every element of \(S\) is an element of \(T\).
Notation
\(S\) is a subset of \(T\) is denoted by
\[ S \subseteq T \]
Results
The empty set is a subset of any set.
Every set is a subset of itself.
If two sets are subsets of each other then they are the same.