Some definitions of interest.
compose_iter	Def  f{i}(x) == if i=0 x else f(f{i-1}(x)) fi  (recursive)
	Thm*  f:(AA), i:. f{i}  AA
identity	Def  Id(x) == x
	Thm*  A:Type. Id  AA
surject	Def  Surj(A; B; f) == b:B. a:A. f(a) = b
	Thm*  A,B:Type, f:(AB). Surj(A; B; f)  Prop

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