Definition:Second Principle of Mathematical Induction/Induction Step

Terminology of Second Principle of Mathematical Induction

Consider a Proof by Complete Induction.

The step which shows that the truth of $\map P {k + 1}$ follows from the assumption of truth of $P$ for all values of $j$ between $n_0$ and $k$ is called the induction step.

Also known as

The induction step can also be referred to as the inductive step.