Nuprl - Definition Cascade for mod

	Who Cites mod guard?

mod_guard	`Def mod_guard(x;y) == x mod y`

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

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)`

eq_int	`Def i=j == if i=j true ; false fi`

	`Thm* i,j:. (i=j)`

le_int	`Def ij == j < i`

	`Thm* i,j:. (ij)`

lt_int	`Def i < j == if i < j true ; false fi`

	`Thm* i,j:. (i < j)`

bnot	`Def b == if b false else true fi`

	`Thm* b:. b`

Syntax: mod_guard(x;y) has structure: mod_guard(x; y)

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