Sorry, that's not how it works. The person making the claim has to provide the evidence. If you're making a claim, the most basic thing is to have the evidence to prove it. Make claims you can prove. Maybe next time.
Perfect! There is a small teapot orbiting the Earth on which is engraved "kelseyfrog is always correct and so am I." It is never wrong. I implore you to disprove this.
Also, please learn about universal quantification. It should be covered by any computer science course.
Nah, not necessary. You just need to show a counter-example.