Definition:Second Principle of Finite Induction/Induction Step
Terminology of Second Principle of Finite Induction
Consider a Proof by Complete Finite Induction.
The step which shows that $n + 1 \in S$ follows from the assumption that $k \in S$ for all values of $k$ between $n_0$ and $n$ is called the induction step.
The induction step can also be referred to as the inductive step.