Some definitions of interest.
bijection_type	Def  A bij B == {f:(AB)| Bij(A; B; f) }
	Thm*  A,B:Type. A bij B  Type
exteq	Def  A =ext B == (x:A. x  B) & (x:B. x  A)
injection_type	Def  A inj B == {f:(AB)| Inj(A; B; f) }
	Thm*  A,B:Type. A inj B  Type
int_seg	Def  {i..j} == {k:| i  k < j }
	Thm*  m,n:. {m..n}  Type
nat	Def   == {i:| 0i }
	Thm*    Type
surjection_type	Def  A onto B == {f:(AB)| Surj(A; B; f) }
	Thm*  A,B:Type. A onto B  Type

About: IF YOU CAN SEE THIS go to /sfa/Nuprl/Shared/Xindentation_hack_doc.html