Inductive Set/Examples/Subset of Real Numbers
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Example of Inductive Set
Inductive Set as Subset of Real Numbers
A specific instance of such an inductive set is defined by some authors as follows:
Let $I$ be a subset of the real numbers $\R$.
Then $I$ is an inductive set if and only if:
- $1 \in I$
and
- $x \in I \implies \paren {x + 1} \in I$