Question: Let P(x, y) be a propositional function and the domain for the variables x and y be {1, 2, 3}. Let P(1, 3), P(2, 1),

Let P(x, y) be a propositional function and the domain for the variables x and y be {1, 2, 3}. Let P(1, 3), P(2, 1), P(2, 2), P(2, 3), P(3, 1), P(3, 2) be true, and P(x, y) be false otherwise. Determine whether the following statements are true. Explain. (a) (Ex 3y (P(x, y) ^ P(y, x))). (b) Vy 3x (P(x, y) Py, x)). (c) Hy 3x (x
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