Port algebra/lib/ufrac_auth.v

## Summary

Port [`algebra/lib/ufrac_auth.v`](https://gitlab.mpi-sws.org/iris/iris/-/blob/master/iris/algebra/lib/ufrac_auth.v).

## Subtasks

- [ ] Lemmas
- [ ] Updates
- [ ] Functors


## Dependencies








**Rocq dependencies:**

- #261
- #240
- #229
- #241
- #231