R = {(a,b) is an element of A cross B with (b,a) an element of R inverse} Proof: If R is antisymmetric, then R inverse is antisymmetric -if you can not prove this I must show a counterexample thanks
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You need to show if R is antisymettric, meaning if a<=b and b<=a implies a=b. Then has the same property. It should be clear how to do this by definition.
If But we know that is antisymmetric so .
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