Is a null relation is symmetric
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Now in this case there are no elements in the Relation and as A is non-empty no element is related to itself hence the empty relation is not reflexive.
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The empty relation is symmetric and transitive
Now in this case there are no elements in the Relation and as A is non-empty no element is related to itself hence the empty relation is not reflexive.
And as the relation is empty in both cases the antecedent is false hence the empty relation is symmetric and transitive
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