Description: An integer divides another iff it divides their difference. (Contributed by Paul Chapman, 31-Mar-2011)
Ref | Expression | ||
---|---|---|---|
Assertion | dvdssub | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dvdsnegb | |
|
2 | znegcl | |
|
3 | dvdsadd | |
|
4 | 2 3 | sylan2 | |
5 | zcn | |
|
6 | zcn | |
|
7 | negsub | |
|
8 | 5 6 7 | syl2an | |
9 | 8 | breq2d | |
10 | 1 4 9 | 3bitrd | |