Awesome reply, thanks! Excuse me if more careful reading of your post would 
also answer these questions:

  * What is the `M` in `h(UXT,IXT) → M[h(UXT,IXT)]`? How come `h` "arrows to" 
both `M[h(UXT,IXT)]` and `((XT,_),(XT,IT))`? A syntactic distinction between 
"is of type" and "this is its implementation" might help here, but I probably 
misread it.
  * What is `IXT`? You only defined `IT` and `UIT` afaict.


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