Floor Function/Examples/Floor of 3
Jump to navigation
Jump to search
Theorem
- $\floor 3 = 3$
where $\floor x$ denotes the floor of $x$.
Proof
We have that $3$ 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
- 1965: J.A. Green: Sets and Groups ... (previous) ... (next): Chapter $2$. Equivalence Relations: Exercises $3$