Nuprl - Some Definitions

	Some definitions of interest.

div_floor	`Def a n == if 0aa n ;((-a) rem n)=0-((-a) n) else -((-a) n)+-1 fi`

	`Thm* a:, n:. (a n)`

divides	`Def b \| a == c:. a = bc`

	`Thm* a,b:. (a \| b) Prop`

iff	`Def P Q == (P Q) & (P Q)`

	`Thm* A,B:Prop. (A B) Prop`

modulus	`Def a mod n == if 0aa rem n ;((-a) rem n)=00 else n-((-a) rem n) fi`

	`Thm* a:, n:. (a mod n)`

nat_plus	`Def == {i:\| 0 < i }`

	`Thm* Type`

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