# Category:Image of Intersection under Relation

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This category contains pages concerning **Image of Intersection under Relation**:

Let $S$ and $T$ be sets.

Let $\RR \subseteq S \times T$ be a relation.

Let $S_1$ and $S_2$ be subsets of $S$.

Then:

- $\RR \sqbrk {S_1 \cap S_2} \subseteq \RR \sqbrk {S_1} \cap \RR \sqbrk {S_2}$

That is, the image of the intersection of subsets of $S$ is a subset of the intersection of their images.

## Pages in category "Image of Intersection under Relation"

The following 3 pages are in this category, out of 3 total.