There is a terribly designed set of stairs. It is not possible for you to step from one step to the next for fear of injury. However, you feel confident that you can skip the next step (step two up), or jump up three stairs at a time. You don't know the height of this staircase, but you know you can go up them using this scheme. Use strong structural induction to show that you can go up staircases of this type of any height, if there are two or more steps. Carry out the basis step for this proof. State the inductive hypothesis for this proof. Carry out the inductive step for this proof. Each line should be numbered and have some annotation.

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