Four Fours/0/General Solutions

Puzzle: Four Fours: 0

Using exactly $4$ instances of the number $4$, the task is to write an expression for $0$, using whatever arithmetical operations you consider necessary.

General Solutions

Let $\map {e_n} m$ be an expression which uses $n$ instances of $4$ to make $m$.

Then we have:

General Solution 1

$0 = \map {e_2} m - \map {e_2} m$

where $m \in \N$ is arbitrary.

General Solution 2

$0 = \map {e_3} m - \map {e_1} m$

where $m \in \N$ is arbitrary.