# Floor Function/Examples/Floor of One Half

## Theorem

$\floor {\dfrac 1 2} = 0$

where $\floor x$ denotes the floor of $x$.

## Proof

We have that:

$0 \le \dfrac 1 2$

and:

$1 = \dfrac 2 2 > \dfrac 1 2$

Hence $0$ is the floor of $\dfrac 1 2$ by definition.

$\blacksquare$