I hate to be a pest but I have looked around and apparently don't understand some conditional/typing.
For instance after
 n : PI
we get.

(9) -> if (n>-3) then true else false

   n is declared as being in PositiveInteger but has not been given a
      value.

This was also mentioned in: http://axiom-wiki.newsynthesis.org/DefiniteIntegration
with no update (it's quite old) or response that I can see..
"
n:PositiveInteger
what this tellsFriCAS <http://axiom-wiki.newsynthesis.org/FriCAS>is that|n|will be assigned an integer value greater than 0 - only that. After it is actually assigned some value, then it can be used exactly like that value, but not before.

To me, this is a tremedous waste of an opportunity inFriCAS <http://axiom-wiki.newsynthesis.org/FriCAS>to to deal with "domain of computation" issues such as are addressed in other untyped computer algebra systems by the use of "assumptions" such as:

  assume(x,PositiveInteger);
"
I need it for a negative binomial rule/function as per: 
https://arxiv.org/pdf/1105.3689.pdf
In GouldBK we never stoop so low as/actually/  use numbers! :)
Ray




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