# Bounded Below Subset of Real Numbers/Examples/Closed Interval from 0 to 1

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## Example of Bounded Below Subset of Real Numbers

Let $I$ be the closed real interval defined as:

- $I := \closedint 0 1$

Then $I$ is bounded below by, for example, $0$, $-1$ and $-2$, of which $0$ is the infimum.

$I$ is also the smallest element of $I$.

## Sources

- 1977: K.G. Binmore:
*Mathematical Analysis: A Straightforward Approach*... (previous) ... (next): $\S 2$: Continuum Property: Exercise $\S 2.10 \ (4) \ \text{(v)}$