Question: Let (A, R) be a poset. Prove or disprove each of the following statements. (a) If (A, R) is a lattice, then it is a

Let (A, R) be a poset. Prove or disprove each of the following statements.
(a) If (A, R) is a lattice, then it is a total order.
(b) If (A, R) is a total order, then it is a lattice.

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