Hee. I bow to your superior knowledge of the books. :D

And I agree that witches are just as powerful as wizards, and had to be always accepted as so. I do not, however, think that segregation of schools necessarily had as much to do with putting down women as all that. The ORIGINAL segregation of education did, because women didn't go to school at all. They were generally only educated in practical matters.

By the time there were schools for girls, my understanding is that their course content was relatively equal.