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Discrete Math : Show that the symmetric closure of the union of 2 relations is the union of their symmetric closures.

Show that the symmetric closure of the union of 2 relations is the union of their symmetric closures.

Solution Preview

Hi, here is the proof.

Let r & s be both symmetric closure relations on a set A

Claim: r u s is symmetric closures.

Let x , y E A so ...

Solution Summary

A symmetric closure is investigated.

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