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Construct the following relations on our domain {1 , 2 , 3}, A relation that is both symmetric and antisymmetric. A relation that is transitive

Construct the following relations on our domain {1, 2, 3},

A relation that is both symmetric and antisymmetric.

A relation that is transitive and symmetric, but not reflexive or antisymmetric.

A relation that is both transitive and not symmetric.

(Explain each step, if possible using Coq program)

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