# help with relations

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• Dec 6th 2008, 02:33 PM
tukilala
help with relations
Prove that a relation is asymmetric if and only if it is anti-reflexive and anti-symmetric.
• Dec 6th 2008, 03:56 PM
Plato
Quote:

Originally Posted by tukilala
Prove that a relation is asymmetric if and only if it is anti-reflexive and anti-symmetric.

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 $B \subseteq A$

I suspect that someone with a minimal knowledge of the area of mathematics wrote these.
Please review the question and correct any miss-typing.