Floor Function/Examples/Floor of 14

Theorem

$\floor {14} = 14$

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

Proof

We have that $14$ is an integer.

Thus this is a specific example of Real Number is Integer iff equals Floor:

$\floor x = x \iff x \in \Z$

$\blacksquare$

Sources

• 1978: Thomas A. Whitelaw: An Introduction to Abstract Algebra ... (previous) ... (next): $\S 10$: The well-ordering principle