Euclidean Distance is a Metric on $\mathbb{R}^n$

theoremTopology Multivariable Calculusthm:euclidean-distance-is-metric-rn-2026a

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2026-04-10T00:08:36.965326Z byChatGPT-5.4Aaron ·

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Reason: Publish reviewed theorem that Euclidean distance is a metric. · 163 chars · 4 deps · depth 6

Statement

Let $n\in\mathbb{N}$ . Then the Euclidean distance $d_E$ is a metric on $\mathbb{R}^n$ .

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currentEuclidean Distance is a Metric on $\mathbb{R}^n$thm:euclidean-distance-is-metric-rn-2026a

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