Euclidean Metric on Real Number Line is Metric/Proof 1
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Theorem
The Euclidean metric on the real number line $\R$ is a metric.
Proof
The Euclidean metric on the real number line is a special case of the Euclidean metric on the real vector space $\R^n$.
The result follows from Euclidean Metric on Real Vector Space is Metric.
$\blacksquare$