Smallest Element is Infimum/Examples/Example 1
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Example of Use of Smallest Element is Infimum
Let $S$ be the subset of the real numbers $\R$ defined as:
- $S = \set {1, 2, 3}$
Then the smallest element of $S$ is $1$.
From Smallest Element is Infimum it follows that:
- $\inf S = 1$
Sources
- 1977: K.G. Binmore: Mathematical Analysis: A Straightforward Approach ... (previous) ... (next): $\S 2$: Continuum Property: $\S 2.8$: Example $\text{(ii)}$