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## Theorem: Continuous Real Functions on Closed Intervals are Uniformly Continuous

Let $[a,b]$ be a closed real interval, $\mathbb R$ be the set of real numbers and $$f:[a,b]\mapsto \mathbb R$$ a continuous function. Then $$f$$ is uniformly continuous.

| | | | | created: 2017-03-13 20:07:08 | modified: 2017-03-13 20:12:19 | by: bookofproofs | references: [581]

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