[isabelle] Notation issues trying to make Multiset more convenient


As you know, {a,b,c} works for sets, and [a,b,c] works for lists.
I'm in need of this sort of thing for Multisets, but I just can't get it to work.

Firstly, syntax issues ... anything along the lines of:
	  "{# x, xs #}" == "{# x #} + {# xs #}"
fails due to a parse error, even if I replace # with any non-bracket symbol.

On the other hand, bracket symbols work:
	  "[{x, xs}]" == "{# x #} + {# xs #}"
but this redefines the "one set in a list" syntax.

What I can do is specify some unary operator for multiset_of and pass in a list:
	  multiset_of ("\<kappa> _" [40] 40)
but then I lose the nice simplification of:
	lemma "a :# ({# b #} + {# a #})" by simp
as this won't work:
	lemma "a #\<in> \<kappa>[b, a, c]" by simp

I am not sure how to proceed from here. Could you offer any advice?


Rafal Kolanski.

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