How do you prove you're real?

[anagogy]

Illusions too believe they are real because they experience.

Just because you are, doesn't mean you actually are.  
Imagine being a self aware illusion.  You're not real, but feel like you are.  Weird how that works, so once more I still don't know how to prove yourself real.

As Gem says, who does the thinking?  What is a thought, why does it make me any more real than the passing notice of an entity or the whim of ones awareness?

How can I prove my thoughts are real?

I'm just trying to plumb how much people question their reality.  Most never go beyond their thoughts as validation.

But see, that is exactly what I'm getting at: what is the difference between the perfect illusion of a thing, and the thing actually being so?  There is no difference.

The perfect simulation of "existence" is no different than existence.  The perfect illusion of a tree, is no different than an actual tree.  If the creator knows all things, all potentials, then all potentials are real.  Because the knowingness, or simulation of experience, is perfect down to the finest detail.  I'm just trying to point out the threshold, beyond which the distinction is not apparent, and therefore completely arbitrary.

To play devils advocate for a moment, say your thoughts are fake.  What is the difference between fake and real?  If there is no difference, why worry about the distinction? From my vantage point, if you have no barometer for unreal, than by default, things are real. Real and unreal are relative to one another. Without the relativity, there can be no distinction.