[Prozac]

I should think that it will be fine. I've taken prescription medication (out of it's box/without my name on) in my luggage (both hand and hold) multiple times without any problems. If you're very worried then you could always check with the airport. There's usually a list of travel restrictions on the website too. However, from past experience, I don't think that this should be a problem to you and you shouldn't need a doctor's note.

Enjoy your trip