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三分律

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数学中,三分律(或公理)是对任何(实)数 xy 下列关系中精确的一个成立的最一般的陈述:

如果应用于基数,三分律等价于选择公理

有序整环有序域的定义中,有着 y = 0 的三分律通常被接受为比全序律更加基本,这里的 0 是整环或域的零。

集合论中,三分法最经常被定义为二元关系 < 所拥有的一个性质,在所有它的成员 <x,y> 精确的满足上述关系之一的时候。严格不等于是在这个意义上的三分关系的一个例子。在这个意义上的三分关系是反自反的和反对称的。

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三分律
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