Definition:Second Principle of Mathematical Induction/Induction Step

Terminology of Principle of Complete 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 smaller values of $n$ is called the induction step.

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