Category:Minimally Inductive Set

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This category contains results about the minimally inductive set.
Definitions specific to this category can be found in Definitions/Minimally Inductive Set.

Let $S$ be an inductive set.

The minimally inductive set $\omega$ is the inductive set given by:

$\ds \omega := \bigcap \set {S' \subseteq S: S' \text{ is an inductive set} }$

that is, $\omega$ is the intersection of every inductive set which is a subset of $S$.