Partition of a set
= Partition of a set
{wiki}
A partition of a <set> $X$ is a family of pairwise disjoint nonempty <subsets> whose <union> is $X$. Every <equivalence relation> defines a partition into <equivalence classes>, and conversely belonging to the same cell of a partition defines an <equivalence relation>. The nonempty <colour classes> of a <finite colouring> form a finite partition.