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6. Structural Induction (4 points) Let S be a subset of the set of integers defined recursively as follows: Base case:0 E S and 2

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6. Structural Induction (4 points) Let S be a subset of the set of integers defined recursively as follows: Base case:0 E S and 2 ES Recursive case: If a, b E S, then a +bES Use structural induction to show for all c S that c-2k for some k N. 1) Complete the base case: 2) Inductive Step: a) What is your inductive hypothesis? b) What are you trying to prove? c) Complete the proof

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