The induction principle for natural numbers expresses that when a property holds for some natural number a and is hereditary, then it holds for all numbers greater than or equal to a. We present a similar principle for real numbers.

翻译：自然数的归纳原理表明，如果某个性质对某个自然数a成立且具有遗传性，则该性质对所有大于或等于a的自然数成立。我们为实数提出一个类似的原理。