Suppose that for some language L we can always concatenate two words in L and get another
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Suppose that for some language L we can always concatenate two words in L and get another word in L if and only if the words are not the same. That is, for any words w1 and w2 in L where w1 ≠ w2, the word w1 w2 is in L but the word w1 w1 is not in L. Prove that this cannot happen.
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