Question: TOPIC: STRUCTURAL INDUCTION Let m,n > 0 be integers, Define a set of integers L(m,n) as follows: Base case m,n element of L(m,n) Constructor case

TOPIC: STRUCTURAL INDUCTION

Let m,n > 0 be integers, Define a set of integers L(m,n) as follows:

Base case m,n element of L(m,n) Constructor case If x element of L(m,n), then x squared element ofL(m,n) Prove by structural induction that every common divisor of m and n also divides every member of L(m,n)

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