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The set of all partitions of a set can be partially ordered by refinement. A partition ... is a refinement of partition ... if every subset inside ... fits inside a subset of ... . For example, ... is a refinement of ... ; but ... is not because the subset ... is itself not contained in either subset of ... . This Demonstration shows the lattice formed by all the sets of partitions of a given set ordered by refinement.

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      EUN,LOM,LRE4,work-cmr-id:262583,http://demonstrations.wolfram.com:http://demonstrations.wolfram.com/SetPartitionRefinementLattice/,ilox,learning resource exchange,LRE metadata application profile,LRE

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