Given a set of partitions, this determines the cross partitions.

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- cross partition
- Intersection of all items of two sets
- intersection
- the set containing all elements of A that also belong to B or equivalently, all elements of B that also belong to A.

A ∩ B - partition
- a grouping of its elements into non-empty subsets, in such a way that every element is included in exactly one subset.
- set
- a collection of different things; a set contains elements or members, which can be mathematical objects of any kind
- subset
- A is a subset of B if all elements of the set A are elements of the set B