Thanks, Ramana!  I think I wasn't clear.  As Rob explained, there's a type 
quantification problem: we can't define Fibration p E B.  Any time you wish to 
write Fibration p E B, you must write instead 
!M:A->bool. HLP p E B M.  With that in mind, I don't understand your objection 

   It's not just an annoyance.  Suppose the assumption you have to
   drag around was instead the definition of Fibration.

-- 
Best,
Bill 

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