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Some definitions of interest.
mod_guard
Def
mod_guard(x;y) == x mod y
Thm*
a:
, n:
. mod_guard(a;n)
modulus
Def
a mod n == if 0
a
a rem n ;((-a) rem n)=
0
0 else n-((-a) rem n) fi
Thm*
a:
, n:
. (a mod n)
nat_plus
Def
== {i:
| 0 < i }
Thm*
Type
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