When Life Gives You Lemmas

Hello! Thanks for sharing your hot take. Your opinion is Wrong and I am going to tell you Why.

“Hot take” should be reserved for statements which are conjectured or hypothesized but not proven. Despite not being proven, a statement should have some evidence in its favor before being presented as a hot take.

On the other hand, once something is proven, it is tea. To prove something is to spill the tea. A proof is an effortpost. Proper format for spilling the tea is to write the statement of the tea, followed by “in this essay I will,” and then the effortpost, beginning with statement of assumptions. A proper effortpost ends with “thank you for coming to my TED talk,” or “TED” for short. Allow me to demonstrate.

Fermat’s Little Tea.

For p, a ∈ ℤ, if p is a prime which does not divide a, then a^(p-1) = 1 (mod p).

In this essay I will let p, a ∈ ℤ, such that p is a prime which does not divide a. Lagrange’s theorem indicates that ℤ/pℤ* is a cyclic group under multiplication. As such the order of any element of ℤ/pℤ* is the order of the group, p-1. Since p does not divide a, a is an element of ℤ/pℤ*, and as such, its order in the group is p-1. Therefore a^(p-1) = 1 (mod p). TED.

The Four Color Tea is notable for being the first major tea spilled by computer. The Four Color Tea, then the Four Color Hot Take, was first proposed by Francis Guthrie in 1852. The tea was notoriously difficult to spill, but over a century later, in 1976, Wolfgang Haken and Kenneth Appel presented an effortpost using a very advanced (for the time) computer at the University of Illinois.

After the semester ended, I sent a friend request to my Honors Calculus III teacher.