Dear all, http://isabelle.in.tum.de/reports/Isabelle/rev/838025c6e278 introduces type classes »(sem)idom_divide« with an explicit partial divide operations in integral (semi)domains, which specialises smoothly to field division or euclidean division later on. In _ you see how this allows to formulate certain results uniformly for both kind of divisions.
So far, this generic division does not carry any infix syntax. Maybe it
should, but I am uncertain which path to follow:
a) The radical solution: there is only »_ / _« for both field division
and euclidean division. How natural is notation like »a / b * b + a mod
b = a« then?
b) The conservative solution: partial division has »_ div _«, an (the
more special) field division »_ / _«. This seems more sensible than the
other way round since »_ div _« suggests some kind of »incompleteness«.
Any opinions?
Cheers,
Florian
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