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 $\S 2.10 \ (4) \ \text{(v)}$