Rebellion is opposition to authority. Doing things in our own way not God's way.
Rebellion is as bad as witchcraft because it is willfully choosing to be led by another spirit. Operating outside the will of God.
Arrogance and stubborness go hand in hand. We think we can do things our way and think we know better than God. It is better to do things God's way.
When we find rebellion in our heart we should humbly repent before God asking Him to remove the rebellious spirit. If we do nothing God will bring us to a place where we must do something.