 Teams, our tech help is Suzanne Alejandre, who is running the show, and I will announce each group as they come along. So for our first one, we have Monica Tienda, who is in the teacher leadership program. She's the organizer of the TLP. Monica shares a milestone birth year with Abbey Road, Sesame Street, The Moon Landing, and Monty Python's Flying Circus, all of them from 1969. And Cal Armstrong, who's also in the TLP, he's from Oakville in Ontario, Canada. Cal has been to everyone in the 48 contiguous states, most of them on his motorcycle. We'll be doing these presentations in order of descending height, so. Are you ready? By obviousness. The proof is so clear that it just need not be mentioned. By imagination. We'll just pretend it's true. Proof by convenience. It would be very nice if it was true, so. Proof by necessity. Yeah, it'd better be true, or the entire structure of mathematics will crumble to the ground. Shit, proof by profanity. Proof by plausibility. Sounds good, so it must be true. By intimidation. Don't be stupid, of course it's true. Proof by lack of sufficient time. Because of the time constraint, I'm gonna leave the proof up to you. Proof by postponement. The proof for this is long and arduous, so it's given to you in the appendix. Proof by accident. Ay, Dios mío, vete al diablo. Que desgraciado. Proof by insignificance. Who really cares anyway? Proof by plagiarism. So, as we see on page 289. Proof by clever variable choice. Let A be the number such that this proof works. Proof by divine number. And the Lord said, let it be true. And it was true. By divine intervention. Then a miracle occurs in step three. Proof by hasty generalization. Well, it works for 17, so it works for all reels. Proof by avoidance. Limit of proof by postponement, as it approaches infinity. Proof by design. If it's not true in today's math, invent a system in which it is. So, we just wanted to share some extra proofs with you because Andy Burnoff did proof by induction and there's a lot more proofs than that. Thanks.