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A. Prove that the cyclic group of order 3 is a group by doing the following:
1. State each step of your proof.
2. Provide written justification for each step of your proof.

Prove that the cyclic group of order 3 is isomorphic to Z3 under addition by doing the following:
1. State each step of your proof.
2. Provide written justification for each step of your proof.