Verb: The act of considering something so trivial or insignificant that one refuses to acknowledge its presence or existence; the state of being 'better than.'
History: The term "big league" derives from the transition professional athletes make from the minor leagues in baseball to the professional leagues, particularly referring to the attitude a big name star displays to those around him.
I had court today but I big leagued it.
"I had court today but I was over it."
Did you go to class today?
No, I big leagued it.
"No, I was over it."
Did you big league me when I called?
"Did you avoid my call?"
Are you going to show up tomorrow or are you going to big league?
"Are you going to show up tomorrow or are you going to pretend that you're better?"
Now that Mike got that substantial promotion he's big leaguing all of us.
"Now that Mike got that substantial promotion, he's being a cocksucker."