Thank you for HyperDoc hint, it turned out to be not so scary.

But if log is not log: P -> R how can the simplifications be done?
Consider

log (x*y)

and when I write it I mean log to be of type P -> R, however I can't
say it to FriCAS. If I don't know anything about x and y (except the
are both R, x*y is P) then I leave this expression. However I actually
assume x and y to be in P and

log x + log y

can be used. How does FriCAS assure an expression to be valid if not
by types used?

>Ehm, what do you mean by that. In my understanding the union of all domains 
>and categories is called "constructors".

I just thought that "constructor" requires an argument and so not a
category buy itself, never mind this.

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