Nuprl - Some Definitions

inv_funs	`Def InvFuns(A; B; f; g) == g o f = Id & f o g = Id` `Thm* A,B:Type, f:(AB), g:(BA). InvFuns(A; B; f; g) Prop`
compose	`Def (f o g)(x) == f(g(x))` `Thm* A,B,C:Type, f:(BC), g:(AB). f o g AC`
exp	`Def (basepower) == if power=0 1 else base(basepower-1) fi (recursive) Thm* n,k:. (nk)` `Thm* n,k:. (nk)`
int_seg	`Def {i..j} == {k:\| i k < j }` `Thm* m,n:. {m..n} Type`
nat	`Def == {i:\| 0i }` `Thm* Type`
tidentity	`Def Id == Id` `Thm* A:Type. Id AA`
eq_int	`Def i=j == if i=j true ; false fi` `Thm* i,j:. i=j`
lelt	`Def i j < k == ij & j < k`
le	`Def AB == B < A` `Thm* i,j:. ij Prop`
identity	`Def Id(x) == x` `Thm* A:Type. Id AA`
not	`Def A == A False` `Thm* A:Prop. (A) Prop`

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