Description: If an integer divides another, it divides a multiple of it. (Contributed by Paul Chapman, 17-Nov-2012)
Ref | Expression | ||
---|---|---|---|
Assertion | dvdsmultr1 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dvdsmul1 | |
|
2 | 1 | 3adant1 | |
3 | zmulcl | |
|
4 | 3 | 3adant1 | |
5 | dvdstr | |
|
6 | 4 5 | syld3an3 | |
7 | 2 6 | mpan2d | |