# Subset

## Redirected from Proper subset

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A set $A$ is a subset of a set $B$ if all of the elements in $A$ is also in $B$ . Note that $A$ may be equal to $B$ .

This relationship is denoted by $A\subseteq B$ .

## Proper subset

A set $A$ is a proper subset of a set $B$ if $A$ is a subset of $B$ but $A\ne B$ .

This relationship is denoted by $A\subset B$ .