Is L is the empty set, {$\emptyset$}, is it then true that LL = {$xx \mid x\in L$}?

71 Views Asked by At

My reasoning is that both LL and {$xx \mid x\in L$} is equal to {$\emptyset$}. Is this correct?

1

There are 1 best solutions below

1
On BEST ANSWER

Do you mean that if $L=\emptyset$, then $\{xx:x\in L\}=\emptyset$?

There is no $x\in L$ to begin with, so "$x\in L$" is always false; the second set is indeed empty.