Question: (D. N. Arden) Let R, S, and T be three languages and assume that is not in S. Prove the following statements: (i) From

(D. N. Arden) Let R, S, and T be three languages and assume that Λ is not in S. Prove the following statements:
(i) From the premise that R = SR + T, we can conclude that R = S*T.
(ii) From the premise that R = S*T, we can conclude that R = SR + T.

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