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Six properties of relations we will study: Reflexive; Irreflexive; Symmetric; Asymmetric; Antisymmetric; Transitive. Reflexivity. A relation is reflexive if ...
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A relation R on a set A is an equivalence relation if it has these properties: R is reflexive. R is symmetric. R is transitive. The simplest example is ...
Another example: the relation is reflexive on the set Z+. Symmetric relations. A relation R on a set A is symmetric iff for all x, y A, if (x, ...
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