The exact opposite would be:

> A pet peeve of mine is showing things much more easily and clearly with math than demonstrating them through programming.

You probably meant something like

> A pet peeve of mine is demonstrating things through math that can much more easily and clearly be shown with programming.

I don't think andrepd would disagree with the latter. Basically, pick the clearest way to show things.

Not sure about this. The opposite of a pet peeve would necessarily be a undomesticated, wild, or feral peeve.

In this case, by simple inversion that'd be demonstrating things through programming, that would be more challenging to prove with mathematics.

By such a standard, the four-colour theorem would be an example of a feral peeve. However, the work of Agner Krarup Erlang would not.