text: Pope Pius X wrote his SYLLABUS OF ERRORS without any input of cardinals at all.  He believed that he was in and of himself, as a pope, able to make such proclamations.  When the  Vatican Council I occurred, the Constitution "Pastor Aeternus" was presented---it stated that when the pope speaks 'ex cathedra', 
  "that is, when in discharge of his office, the pastor and doctor of all Christians...he defines...a doctrine of faith or morals...[he] is endowed with that infallibility with which our divine Redeemer willed that the Church should be furnished in defining doctrine of faith or morals."
  
  Further, the constitution contends, "such definition of the Roman pontiff are irreformable of themselves and not in virtue of the consent of the Church."  In plain words, the pope doesn't have to consult any other bishop in promulgation of dogma.
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  Pastor Aeternus in Justo Gonzalez, A HISTORY OF CHRISTIAN THOUGHT, vol. III [Nashville, TN: Abingdon Press, 1983]. p. 367