> Maybe I am just stupid, but I think that it would be good for this
> behaviour to be documented more clearly!  After all, if I define
> R=RealField(200) and mutiply elements of R together the results will
> still only have 200 bits of precision.  (And yes, I do know the
> difference between archimedean and non-archimedean valuations, but
> still!)
>

More documentation is always good, but I would argue that the right
solution is to change the behavior of power series rings to line up with
p-adics.  After #12555, I think the right way to do this is to implement
power series using the templates code there (there will need to be some
modifications to p-adic elements since the code can no longer assume that
it's in a finite extension of Qp, but it won't be too bad).
David

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