# Category:Definitions/Closedness under Mappings

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This category contains definitions related to Closedness under Mappings.

Related results can be found in Category:Closedness under Mappings.

Let $f: S \to T$ be a mapping.

Let $S' \subseteq S$.

Then $S'$ is **closed under $f$** if and only if:

- $f \sqbrk {S'} \subseteq S'$

where $f \sqbrk {S'}$ is the image of $S'$ under $f$.

## Pages in category "Definitions/Closedness under Mappings"

The following 4 pages are in this category, out of 4 total.