Nuprl - Some Definitions

geom_series	`Def (qn) == if n=0 0 else (qn-1)+(qn-1) fi (recursive)` `Thm* q,n:. (qn)`
lelt	`Def i j < k == ij & j < k`
nat	`Def == {i:\| 0i }` `Thm* Type`
nat_plus	`Def == {i:\| 0 < i }` `Thm* Type`
exp	`Def (basepower) == if power=0 1 else base(basepower-1) fi (recursive) Thm* n,k:. (nk)` `Thm* n,k:. (nk)`
eq_int	`Def i=j == if i=j true ; false fi` `Thm* i,j:. i=j`
le	`Def AB == B < A` `Thm* i,j:. ij Prop`
not	`Def A == A False` `Thm* A:Prop. (A) Prop`

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