Description: Transfer divisibility to an order constraint on absolute values. (Contributed by Stefan O'Rear, 24-Sep-2014)
Ref | Expression | ||
---|---|---|---|
Assertion | dvdsleabs2 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | zabscl | |
|
2 | 1 | 3anim1i | |
3 | 2 | adantr | |
4 | absdvdsb | |
|
5 | 4 | 3adant3 | |
6 | 5 | biimpa | |
7 | dvdsleabs | |
|
8 | 3 6 7 | sylc | |
9 | 8 | ex | |