reserve P,Q,X,Y,Z for set, p,x,x9,x1,x2,y,z for object;
reserve D for non empty set;
reserve A,B for non empty set;
reserve Y for non empty set,
  f for Function of X,Y,
  p for PartFunc of Y,Z,
  x for Element of X;
reserve g for Function of X,X;
reserve X,Y for non empty set,
  Z,S,T for set,
  f for Function of X,Y,
  g for PartFunc of Y,Z,
  x for Element of X;

theorem
  Funcs({},{}) = { id {} }
proof
  hereby
    let f be object;
    assume f in Funcs({},{});
    then reconsider f9 = f as Function of {},{} by Th65;
    f9 = id {};
    hence f in { id {} } by TARSKI:def 1;
  end;
  thus thesis by Th125,ZFMISC_1:31;
end;
