chore(algebra/ne_zero): move the dependencies out (#17177)
This removes basically everything from `algebra.ne_zero` (since it doesn't require any imports for the definition), and inverts the dependencies on all the theorems in the file, putting them wherever they can fit earliest.
Supercedes #17175 and (I think) #17176.
Co-authored-by: Scott Morrison <scott.morrison@gmail.com>