# Definition
It is both [[Injective]] and [[Surjective]].

# Bijective Map
An example could be
$$X = \{  0,\, L \} \simeq \{  \text{Person}, \, \text{House} \}$$
Where $0$ would map to $\text{Person}$ and $L$ would map to $\text{House}$.

Another example could be
$$\{ 1, \dots, 5 \} \xrightarrow{f^{\text{\; Bijective}}} X$$