Question: Say we have the recursive definition for the set S defined as: Basis step: 6S Recursive step:If xS,then x+3S Use the recursive definition shown above

Say we have the recursive definition for the set S defined as:

Basis step: 6∈S

Recursive step:If x∈S,then x+3∈S

Use the recursive definition shown above and structural induction to prove that ├ 3 ┤| y+12 where y∈S. (Show all of your work)


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