Math Problem Statement
The distinct equivalence classes of an equivalence relation on A provide us with a decomposition of A as a union of mutually disjoint subsets. Conversely, given a decomposition of A as a union of mutually disjoint, nonempty subsets, we can define an equivalence relation on A for which these subsets are the distinct equivalence classes.
Solution
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Math Problem Analysis
Mathematical Concepts
Equivalence Relations
Set Partitions
Formulas
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Theorems
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Suitable Grade Level
Advanced Mathematics
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