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一个离散数学问题

R是集合A上具有自反性和传递性的关系，试证明：R○R=R

2025-02-11 15:09:10

推荐回答（1个）

回答1：

若ab属于R平方，则存在c，使得ac，cb都属于R。由传递性，ab也属于R。所以R平方是R的子集。
另外，若ab属于R，那么根据自反性，得到bb属于R，所以ab属于R平方。所以R是R平方的子集。
综上，R和R平方相等。

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