Hi all, since 4a5b81ff5992 in src/HOL/Number_Theory/Factorial_Ring.thy, there is an abstract formalization of an factorial ring with a constructive factorization operation:
factorization a :: 'a => 'a multiset option
Maybe other algebraists can comment on this. I would appreciate if we
can use this is a base to push abstract algebra forward.
Two remarks have to be made:
a) The development has no auxiliary operations; maybe borrowing ideas
like multiplicity and prime_factors from UniqueFactorization can turn
proofs more compact.
b) In private discussion there was the idea to define is_prime
generically in class algebraic_semidom, rather than to provide it is a
class parameter. Class factorial_semiring would then just assume
finite_divisors (or maybe there is a more appropriate criterion?).
Cheers,
Florian
--
PGP available:
http://isabelle.in.tum.de/~haftmann/pgp/florian_haftmann_at_informatik_tu_muenchen_de
signature.asc
Description: OpenPGP digital signature
_______________________________________________ isabelle-dev mailing list isabelle-...@in.tum.de https://mailmanbroy.informatik.tu-muenchen.de/mailman/listinfo/isabelle-dev
