Let <31 c N X N where (m, n) e 31 if (and only if) n =

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Let <31 c N X N where (m, n) e 31 if (and only if) n = 5m + 2. (a) Give a recursive definition for 31. (b) Use the recursive definition from part (a) to show that (4, 22) ∈ R.
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