Question: Define the avoid operation for languages A and B to be A avoid and w does not contain any string in B as a substring

Define the avoid operation for languages A and B to be
A avoid and w does not contain any string in B as a substring}
Prove: if A and B are both regular languages, then A avoid B is regular.
(Hint: consider showing the language contains some string in B as a substring
Define the avoid operation for languages A and B to be

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