MHB Equivalence Relation: Partition of {a,b,c} - Andy

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The partition {{a,b},{c}} of the set {a,b,c} indicates that elements a and b are equivalent to each other, while c is in its own equivalence class. To generate the equivalence relation for this partition, it is sufficient to express it as {a,b} x {a,b} U {c} x {c}. This notation captures the relationships among the elements accurately. Therefore, the equivalence relation correctly reflects the partition structure. The discussion confirms the validity of this representation.
andydoinmath
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If {{a,b},{c}} is the partition of {a,b,c}. When finding the equivalence relation used to generate a partition, is it enough to say {a,b}x{a,b} U {c}x{c}?

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Andy
 
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