In mathematical induction, the role of inductive hypothesis is to ensure that the next proof process can be established. Specifically, inductive hypothesis means that when we prove a proposition, we first assume that this proposition holds true for natural number n, and then prove that this proposition still holds true when n+ 1

If the inductive hypothesis is not established, then the later proof process is wrong. So inductive hypothesis is a very important step, which ensures the correctness of the proof process.