Definition:Principle of Mathematical Induction/Induction Step

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Terminology of Principle of Mathematical Induction

Consider a Proof by Mathematical Induction.


The step which shows that $\map P k \implies \map P {k + 1}$ is called the induction step.


Also presented as

Some sources present the induction step in the form:

$\map P {k - 1} \implies \map P k$


Also known as

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


Sources