Question: Q5. Please solve this question. 5. Let Bin Tree be the inductive set defined in the lectures. A subtree of t e Bin Tree is

Q5. Please solve this question.

Q5. Please solve this question. 5. Let Bin Tree be the inductive

5. Let Bin Tree be the inductive set defined in the lectures. A subtree of t e Bin Tree is t itself or a subcomponent of t that is a member of Bin Tree. a. Define a function subtrees : Bin Tree + set(Bin Tree) that maps each t e Bin Tree to the set of subtrees of t. b. Prove by structural induction that, if t e Bin Tree contains n Branch nodes, then t has at most 2n +1 subtrees

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