reserve X for set;

theorem Th16:
  SimpleGraphStruct (#{},{}TWOELEMENTSETS{}#) in SIMPLEGRAPHS(X)
proof
  reconsider phiv = {} as finite Subset of X by XBOOLE_1:2;
  reconsider phie = {}TWOELEMENTSETS{} as finite Subset of TWOELEMENTSETS(phiv
  );
  SimpleGraphStruct (#phiv,phie#) in the set of all
SimpleGraphStruct (# v,e #) where v
  is finite Subset of X, e is finite Subset of TWOELEMENTSETS(v);
  hence thesis;
end;
