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
  f1 is total & f2^ is total implies (f1/f2)/.c = ((f1/.c)) *(((f2/.c))) "
proof
  assume that
A1: f1 is total and
A2: f2^ is total;
  f2"{0c} = {} & f2 is total by A2,Th61;
  then f1/f2 is total by A1,Th62;
  then dom (f1/f2) = C;
  hence thesis by Def1;
end;
