Let M be the set of all memes.

Is this well-defined? How can you tell whether something is an element of M?

f(x) is a meme making fun of x for all x in M

Does such an f even exist? Why? Obviously it exists for some x in M but for all?

Thus there exists a normie meme n

What’s a normie meme? Why does its existance follow?

and a unique function F for all natural number k

This again requires f to be well-defined.

The set M is also equipped with a dankness norm.

Prove it has that norm and please also prove it fulfills all properties of a norm.

with property that ||F(k)|| ≤ ||F(k+1)|| for all k in N.

[proof required]. Idea for a counterexample: A meme making fun of a meme in such a terrible way it cannot possibly be “danker”. Though this would require f^-1(terrible meme making fun of meme) to not be empty.