Question: How can I do structural induction proof for the following question? Let S be the subset of the set of ordered pairs of integers defined

How can I do structural induction proof for the following question?

Let S be the subset of the set of ordered pairs of integers defined recursively by Basic step: (0, 0) S Recursive step: If (a, b) S, then (a + 5, b + 9) S and (a 4, b + 11) S. Use structural induction to show that "7 divides a + b for all (a, b) S".

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