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Use the definition for a ring to prove Z sub 7 is a ring under the operations + and X defined as follows:

Use the definition for a ring to prove Z sub 7 is a ring under the operations + and X defined as follows:[a]sub 7 + [b]sub7 =[a+b]sub7 and [a]sub7 X [b]sub 7 =[a x b]sub7

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