If A = {1, 2, 3, 4, 6, 12} then define a relation R by aRb if and only if a divides b. Prove that R is a partial order on A.
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A binary relation is a partial order if and only if the relation is reflexive, antisymmetric and transitive
R is reflexive:
R is antisymmetric: if then for
R is transitive: if aRb and bRc then aRc for all