# Category:Membership Relation

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This category contains results about the membership relation.

Let $S$ be a set.

Let $\powerset S$ denote the power set of $S$.

Let $\mathcal R \subseteq S \times \powerset S$ be the relation defined as:

$\tuple {x, A} \in \mathcal R \iff x \in A$

Thus $\mathcal R$ is the relation between elements of $S$ and subsets of $S$ expressing membership.

## Pages in category "Membership Relation"

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