reserve x,y,X,Y for set;
reserve C for non empty set;
reserve c for Element of C;
reserve f,f1,f2,f3,g,g1 for PartFunc of C,COMPLEX;
reserve r1,r2,p1 for Real;
reserve r,q,cr1,cr2 for Complex;

theorem
  X misses dom f implies f|X is bounded
proof
  assume X /\ dom f = {};
  then for c holds c in X /\ dom f implies |.(f/.c).| <= 0;
  hence thesis by Th68;
end;
