Prove that a relation is asymmetric if and only if it is anti-reflexive and anti-symmetric.

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- Dec 6th 2008, 02:33 PMtukilalahelp with relations
Prove that a relation is asymmetric if and only if it is anti-reflexive and anti-symmetric.

- Dec 6th 2008, 03:56 PMPlato
You have posted two problems.

**Who wrote these problems?**

I ask that because both use non-standard definitions.

Does “anti-reflexive” mean "**irreflexive**?” If not then the proposition is false.

Your other question is meaningless unless $\displaystyle B \subseteq A$

I suspect that someone with a minimal knowledge of the area of mathematics wrote these.

Please review the question and correct any miss-typing.