Some definitions of interest.
biject	Def Bij(A; B; f) == Inj(A; B; f) & Surj(A; B; f)
	Thm* A,B:Type, f:(AB). Bij(A; B; f)  Prop
compose_flips	Def compose_flips(L) == compose_list(map(i.(i, i+1);L))
	Thm* k:, L:(k-1) List. compose_flips(L)  kk
inject	Def Inj(A; B; f) == a1,a2:A. f(a1) = f(a2)  B  a1 = a2
	Thm* A,B:Type, f:(AB). Inj(A; B; f)  Prop
int_seg	Def {i..j} == {k:| i  k < j }
	Thm* m,n:. {m..n}  Type
surject	Def Surj(A; B; f) == b:B. a:A. f(a) = b
	Thm* A,B:Type, f:(AB). Surj(A; B; f)  Prop

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