> That's nonsense, this should be easy to do. :) The equivalent of a type 
> with a parameter in set.mm is a function from sets to sets. You use 
> function application to represent the application of the type function to 
> some particular type.
>

Very well, then.

Also, maybe I was looking in the wrong direction and this isn't relevant 
here, but function is still just an approximation and it is not a type, 
right? I mean, in case where you really want it to be different from set? 
Then it would be not enough to just define a function and you will need 
several theorems to prove that. And if you will use it too often then it 
might become annoying.

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