Can anyone check my proofs for these two questions:
1. Let with . Prove that if
2. Let , prove (by giving a complete proof or a counter example) that, if
1. Since we know that for some integer m. Then if we divide both sides by r we are left with , so p|q.
Is this a correct proof?
a-b =mk, for some integer k.
. So , and therefore implies .
Is this right? I'm not 100% convinced if this implication always holds...