Description: An integer divides another iff it divides their difference. (Contributed by Paul Chapman, 31-Mar-2011)
Ref | Expression | ||
---|---|---|---|
Assertion | dvdssubr | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | zsubcl | |
|
2 | 1 | ancoms | |
3 | dvdsadd | |
|
4 | 2 3 | syldan | |
5 | zcn | |
|
6 | zcn | |
|
7 | pncan3 | |
|
8 | 5 6 7 | syl2an | |
9 | 8 | breq2d | |
10 | 4 9 | bitr2d | |