Prove: If a|b and b|c then a|c.
Assume a, b and c are integers.
The Attempt at a Solution
If a divides b then that means that there is a
real integer "r" that is ra=b .
and since we assume b divides c then c=bs.
After here I got stuck. I was thinking maybe subsitute b and c for ar and bs, but it doesnt seem to get me anywhere. Thanks in advance.