On Saturday, 3 December 2022 at 06:41:30 UTC-8 axio...@yahoo.de wrote:

> Note that this does not happen for DyckWords or Permutations.
>
> I think - should we decide that we do not want this - we could try to add 
> a test to the category framework.  Is there already some structure in place 
> to get from the class in infinite enumerated sets to the subclass in finite 
> enumerated sets?
>
> This is really the usual thing about hashes and equality: for sets to 
behave consistently, one needs that elements that test equal have identical 
hashes. If you allow equality through coercion, this quickly becomes 
impossible. In fact, transitivity of equality is already difficult: 
GF(3)(4) == ZZ(4) and ZZ(4) == GF(5)(4).

For this particular one, where parking functions of specific length are 
completely described as subsets of parking functions, it seems like 
equality should not be a problem, so the hash should probably not taking 
into account the "length" in the parent. 

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