Subset Product/Examples/Example 1

Examples of Subset Product
Let $G$ be a group.

Let $a \in G$ be an element of $G$.

Let:

Let $\order a = 4$.

Then:
 * $\card {X Y} = 4$

where $\card {\, \cdot \,}$ denotes cardinality.

Proof
Calculating the elements of $X Y$