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 Th39:
  r(#)(g/f) = (r(#)g)/f
proof
  thus r(#)(g/f) = r(#)(g(#)(f^)) by Th38
    .= (r(#)g)(#)(f^) by Th17
    .= (r(#)g)/f by Th38;
end;
