reserve E for non empty set;
reserve a for Element of E;
reserve A, B for Subset of E;
reserve Y for set;
reserve p for FinSequence;
reserve e, e1, e2 for Singleton of E;

theorem
  for E being finite non empty set, A,B being Event of E st A misses B &
  A, B are_independent holds prob(A) = 0 or prob(B) = 0
by Th16,XCMPLX_1:6;
