Question: Suppose a relation R on a set A is reflexive, symmetric, transitive and antisymmetric. What can you conclude about R? Prove your answer.

Ok, so I think the conclusion is that any element in A only relates to themself but I'm not too sure if I'm right. If x and y are the only elements in set A and x relates to x and y relates to y, then it is reflexive, symmetric, transitive and antisymmetric. Am I completely off base?