Use mathematical induction to prove the following. In each case, (i) clearly state the property you are trying to prove; (b) state and prove the basis case; (c) state the inductive hypothesis; (d) state and prove the inductive step, clearly indicating where you used the inductive hypothesis.

Problem #3: Use mathematical induction to prove the following. In each case, (i) clearly state the property you are trying to prove; (b) state and prove the basis case; (c) state the inductive hypothesis; (d) state and prove the inductive step, clearly indicating where you used the inductive hypothesis. b) For any strings x and y in 2, (xy) yx (Hint: use induction on lyl with the recursive definition of the "reverse" function For a reminder, that definition is: Basis: -, aa_a VaeZ Recursive: Let w* where w has been defined. Then (wa)*- awR