Sully doesn't think of these little lessons as Sullyisms. That's a term Sarah and Katrina cooked up, and to be honest, use rather sarcastically at times. Never to Sullly's face.
From Sully's perspective, what he is teaching Sarah and Katrina is designed to save their lives, they are illegal clones after all, and in Sarah's case, make her a better cop.
Without further ado, here is the first Sullyism - The Five Ways to Lie.