# Definition:Principle of Superinduction/Induction Step

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## Terminology of Principle of Superinduction

Consider a **Proof by Superinduction**.

The step which shows that $\map P x = \T \implies \map P {\map g x} = \T$ is called the **induction step**.

## Also known as

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