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## Homework Statement

Prove: If a|b and b|c then a|c.

Assume a, b and c are integers.

## Homework Equations

none

## 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.