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Required information

NOTE: This is a multi$-$part question. Once an answer is submitted, you will be unable to return to this part. Determine whether each of these arguments is valid. If an argument is correct, what rule of inference is being used? If it is not, what logical error occurs?

If $n$ is a real number such that $n>1,$ then $n^2>1.$ Suppose that $n^2>1.$ Then $n>1.$