# Category:Definitions/Minimally Inductive Set

Jump to navigation
Jump to search

This category contains definitions related to the minimally inductive set.

Related results can be found in Category: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 $S$.

## Pages in category "Definitions/Minimally Inductive Set"

The following 8 pages are in this category, out of 8 total.