Quoting Florian Haftmann <florian.haftm...@informatik.tu-muenchen.de>:

I will now examine HOL-Nominal more closer, and after that come up with
a next report about the distribution.

There should be no problems in principle.
Early versions of Nominal (1) worked perfectly
with an explicit set-type. They had an instance
for sets and permutation types, and that is
basically the only Nominal specific change
that is needed now.

Best wishes,
Christian
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