Definition:Second Principle of Mathematical Induction/Basis for the Induction

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Terminology of Second Principle of Mathematical Induction

Consider a Proof by Complete Induction.

The step that shows that the proposition $\map P {n_0}$ is true for the first value $n_0$ is called the basis for the induction.

Also known as

The basis for the induction is often informally referred to as the base case.