Maybe it's in the phrasing. For example, instead of saying "There does not exist a non-constant, bounded, entire function," you could say "A bounded entire function is constant," or "A non-constant entire function is unbounded."

So, instead of saying that an object cannot share two properties at the same time, the theorem can be presented as saying that having one property forces the negation of the other property. Of course, then there is the question of which way to go. Do you say (entire + bounded $\Rightarrow$ constant) or (entire + nonconstant $\Rightarrow$ unbounded)?