a:
, n:
. a = (a 
n)
n+(a mod n) & (a mod n) < na:, n:
. a = (a n)n+(a rem n) & |a rem n| < |n| & ((a rem n) < 0 
a < 0) & ((a rem n) > 0 a > 0)| Rank | Theorem | Name |
| 2 | Thm* a:, n:. a = (a n)n+(a mod n) & (a mod n) < n | [div_floor_mod_properties] |
| cites | ||
| 1 | Thm* a:, n:. a = (a n)n+(a rem n) & |a rem n| < |n| & ((a rem n) < 0 a < 0) & ((a rem n) > 0 a > 0) | [div_rem_properties] |