Of course not. That was a demo walkthrough at E3. We will probably get another one of those in June at E3. Tomorrow will be a short trailer. Probably 30 seconds.
Remember people. Trailer doesn't necessarily mean trailer. The gameplay videos have been called "Gameplay trailers"
Well yes but a "trailer" in the traditional sense usually only show a small amount of gameplay while a main gameplay video would show all gameplay and the world, which is what I'm hoping for. Though a traditional trailer wouldn't be bad either.
Oblivion's Official trailer was 1:36 and contained well over a minute of in game footage. They aren't going to just release a
game play trailer, it will be the Official Trailer for Skyrim. Gameplay trailers will not come until E3.