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Mutually Disjoint

Definition Suppose $\{ E_\alpha\mid \alpha \in I \}$ is an arbitrary collection of sets. These sets are said to be pairwise disjoint if for every pair of distinct elements $\alpha,\beta\in I$ , we have $E_\alpha \cap E_\beta= \varnothing$ .

Remark

The synonym mutually disjoint is also used.