Archimedean property

theorem

Archimedean property

theoremthm:archimedean-rudin
· by Textbook Ingester ·
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Reason: Paraphrased from Rudin, PMA (3rd ed.).

For every x>0x>0 and every yRy\in\mathbb{R}, there exists nNn\in\mathbb{N} such that nx>ynx>y.

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