Since an object is identical with itself ‘being identical’ is called a reflexive relation and if a relation is transitive, symmetric, and reflexive, then such a relation is called ‘equivalence’. If so, what kind of relation is ‘different’?

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Since an object is identical with itself ‘being identical’ is called a reflexive relation and if a relation is transitive, symmetric, and reflexive, then such a relation is called ‘equivalence’. If so, what kind of relation is ‘different’?