Thanks, Rob!  You're right, I hadn't looked at Section 1.4 "A Formulation Based 
on Equality" of Andrew's link
> http://plato.stanford.edu/entries/type-theory-church/ and more to the point, 
> I didn't read the longer version Andrew's wrote in his book To Truth Through 
> Proof: 
   More details about Q0 can be found in Andrews 2002.
So you're right, that's not a fair reading of mine.  

But I don't see anywhere in Andrews's very readable Section 1.4 where he says 
that we can recover all the FOL we need from some simple typed LC axioms, why 
he's not going to need the 6 axioms he listed in section 1.3.2 Elementary Type 
Theory.  Can you get to the bottom of this?  Obviously you know how to deduce 
FOL from something like the HOL Light axioms, because you needed to to write 
your proof assistant ProofPower.  So where did you learn it?  From Konrad's 
book Gordon and Melham?  From Andrews's book?  

-- 
Best,
Bill 

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