Subset

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Note for the relation (specifically: partial ordering) $\subset$ and $\subseteq$ see: Subset (relation).

Definition

A subset, $A$, of a set $B$ is a set that is entirely contained in $B$. That means everything contained in $A$ is also in $B$. That is:

• $\forall x[x\in A\implies x\in B]\iff A\subseteq B$

See also

• The implies-subset relation