Thank you for all these interesting remarks. I think I will spend some time 
on the logic of the second degree. So I note that there are two ways to 
formalize second-order logic: either by typing or by using separate 
quantifiers.  And that the case of typing can be subdivided into two 
sub-cases: either by adding the type to the variable or by using different 
letters (as Metamath does). I find your code rather readable. 

-- 
FL

>

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