Proving Properties Of Relations

May 2011
181
2
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?
 

emakarov

MHF Hall of Honor
Oct 2009
5,577
2,017
Any statement that start with "For all x in S" is true if S is the empty set.