Compare and comment:
Genesis 3:1 Now the serpent was more crafty than any other wild animal that the Lord God had made. He said to the woman, “Did God say, ‘You shall not eat from any tree in the garden’?” 2 The woman said to the serpent, “We may eat of the fruit of the trees in the garden; 3 but God said, ‘You shall not eat of the fruit of the tree that is in the middle of the garden, nor shall you touch it, or you shall die.’ ” 4 But the serpent said to he woman, “You will not die; 5 for God knows that when you eat of it your eyes will be opened, and you will be like God, knowing good and evil.” 6 So when the woman saw that the tree was good for food, and that it was a delight to the eyes, and that the tree was to be desired to make one wise, she took of its fruit and ate; and she also gave some to her husband, who was with her, and he ate. 7 Then the eyes of both were opened, and they knew that they were naked; and they sewed fig leaves together and made loincloths for themselves….
National Catholic Reporter editorial, May 23rd 2011 (http://ncronline.org/news/ordination-ban-not-infallibly-taught):
At issue fundamentally is whether John Paul, in his 1994 apostolic letter, Ordinatio Sacerdotalis (“Priestly Ordination”), intended to (or actually did) lay out an infallible teaching when he said, “I declare that the church has no authority whatsoever to confer priestly ordination on women and that this judgment is to be definitively held by all the church’s faithful.”
John Paul did not formally pronounce the teaching ex cathedra (speaking from the chair of Peter) or say he was teaching infallibly in his declaration.
It is also notable that he said only that it was a “judgment” that is “to be definitively held” — not a matter of “divine faith” that must be “believed.”