And I should add that it is precisely because these public heretics still move and live ostensibly within the visible Church that Catholics are so afflicted; it is because the enemies are within the Church and the bishops do nothing, they let them remain to ravage the flock.  If the enemies could never remain in the Church, then our battle would be easy.  But per Pius X, enemies can and do exist in the Church and it is obvious that half of our problem is because of the negligence of bishops either with regard to themselves or the rebels that are still allowed the catholic name.