I need to prove: when R is antisymmetric, then R inverse is antisymmetric. Can someone tell me whether I am correct or wrong?
Let R be antisymmetric, therefore where . This gives us an inverse function which is but because it is impossible to get when (in R), therefore is antisymmetric.
Is this correct? I have the feeling that this is wrong... (If this is wrong can someone give me a counterexample?
Thanks for everything!