Nuprl - Some Definitions

finite	`Def Finite(T) == n:. n ~ T` `Thm* Finite(T) Prop`
int_seg	`Def {i..j} == {k:\| i k < j}` `Thm* m,n:. {m..n} Type`
one_one_corr	`Def A ~ B == f:(AB), g:(BA). InvFuns(A; B; f; g)` `Thm* (A ~ B) Prop`
nat	`Def == {i:\| 0i}` `Thm* Type`
lelt	`Def i j < k == ij & j < k`
inv_funs	`Def InvFuns(A; B; f; g) == g o f = Id & f o g = Id` `Thm* f:(AB), g:(BA). InvFuns(A; B; f; g) Prop`
le	`Def AB == B < A` `Thm* i,j:. ij Prop`
tidentity	`Def Id == Id` `Thm* Id AA`
compose	`Def (f o g)(x) == f(g(x))` `Thm* f:(BC), g:(AB). f o g AC`
not	`Def A == A False` `Thm* (A) Prop`
identity	`Def Id(x) == x` `Thm* Id AA`