> One thing I don't get: if HOL.eq is already taken, why not map the equality 
> symbol to something else?

Well, eq seems more natural when looking at the traditional xsymbol
syntax \<noteq> (although the corresponding abbreviation is named
not_equal).  When using HOL.equal, there is always an uncertainty
whether its HOL.equal or HOL.equals.  The existing HOL.eq_class.eq is so
special that I would not concede it any influence on the naming of a
fundamental HOL constant.

Of course I am open to other suggestions.

        Florian

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