# Thread: Proving Properties Of Relations

1. ## Proving Properties Of Relations

The question is, "Show that the relation R = ∅ on the empty set S = ∅ is reflexive, symmetric, and transitive."

I am not exactly sure where to begin. Could someone, perhaps, prod me in the right direction?

2. ## Re: Proving Properties Of Relations

Any statement that start with "For all x in S" is true if S is the empty set.