# 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 $S$.

## Subcategories

This category has only the following subcategory.

### M

## Pages in category "Minimally Inductive Set"

The following 16 pages are in this category, out of 16 total.