Whenever I'm doing scrambled or fried eggs, I use butter and a regular frying pan (aluminium I think) without any special non-stick coating. They never stick to the pan, it's as if they're floating on top of the butter within the pan.
My wife usually uses oil, and whatever she does, the eggs always stick in the pan, and it's a pain to get them out, and fried eggs usually become a broken mess.
So, why would cooking eggs with oil make them stick to the pan, and doing it with butter wouldn't?