Definition: Partition
Given a set \(A\), a partition of \(A\) is a set of sets \(\{A_1, A_2, \ldots, A_k\}\) such that, \(\bigcup_{i=1}^k A_i = A\) and \(A_i \cap A_j = \emptyset\) for all \(i \neq j\).
Given a set \(A\), a partition of \(A\) is a set of sets \(\{A_1, A_2, \ldots, A_k\}\) such that, \(\bigcup_{i=1}^k A_i = A\) and \(A_i \cap A_j = \emptyset\) for all \(i \neq j\).