reserve x,y,z,X for set,
  T for Universe;

theorem Th33:
  for T being non empty TopSpace, N be constant net of T holds
  the_value_of N in Lim N
proof
  let T be non empty TopSpace, N be constant net of T;
  set p = the_value_of N;
  for S being a_neighborhood of p holds N is_eventually_in S
  proof
    set i = the Element of N;
    let S be a_neighborhood of p;
    take i;
    let j be Element of N such that
    i <= j;
    N.j = p by Th16;
    hence thesis by CONNSP_2:4;
  end;
  hence thesis by Def15;
end;
