In fact, there is also a type `enat` in mathlib. However, have `x/y` be a term of a type that is not the type of `x` and `y` comes with it's own sets of problem

In fact, there is also a type `enat` in mathlib. However, have `x/y` be a term of a type that is not the type of `x` and `y` comes with it's own sets of problems. It doesn't compose as smoothly as homogeneous division.