WRONG!
What a marvelous piece of deductive thought. The logic is totally inescapable. Well, that tears it for me. The strength of your argument has totally opened my eyes!!! I now see how wrong-headed I've been for so many years. I'll go down and file my Actus Formalis Defctionis ab Ecclesia Catholica first thing in the morning!
Once I've filed my "actus formalis", do you have any suggestions to which community I should start attending, where I can hear more persuasive homiletics like that on a regular basis???
Ooh, I just can't wait!!
/sarc