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4. Let A = {0, 1, 2, 3, 4, 5, 6} and define a relation R...

4. Let A = {0, 1, 2, 3, 4, 5, 6} and define a relation R on A as follows: R = {(a, a) | a ∈ A} ∪ {(0, 1),(0, 2),(1, 3),(2, 3),(2, 4),(2, 5),(3, 4),(4, 5),(4, 6)} Is R a partial ordering on A? Prove or disprove.

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