英语翻译A set of integers that is bounded from below contains a

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英语翻译
A set of integers that is bounded from below contains a least element.这是什么定理?
全文是这样的：Show that between any two different real numbers there is a rational number.(Hint:If a0,so there is a natural number n such that 1/nb) and use the fact that a set of integers that is bounded from below contains a least element.) Show that between any two different eal numbers there are infinitely many rational numbers.如何证明，

一个在以下界限的整数集有一个最小的元素

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