reserve x for object, X,Y for set;
reserve C for non empty set;
reserve c for Element of C;
reserve f,f1,f2,f3,g,g1 for complex-valued Function;
reserve r,p for Complex;

theorem Th32:
  r(#)(g/f) = (r(#)g)/f
proof
  thus r(#)(g/f) = r(#)(g(#)(f^)) by Th31
    .= (r(#)g)(#)(f^) by Th12
    .= (r(#)g)/f by Th31;
end;
