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piperk19
piperk19
21.09.2019 • 
Mathematics

Let r be a relation on a set that is reflexive and symmetric but not transitive? let r(x) = {y : x r y}. [note that r(x) is the same as x / r except that r is not an equivalence relation in this case.] does the set a = {r(x) : x ∈ a} always/sometimes/never form a partition of a? prove that your answer is correct.

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