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Write a truth table to prove the following logical equivalence Let U = {all people in the United States). Consider the statement P(x,y) x is

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Write a truth table to prove the following logical equivalence Let U = {all people in the United States). Consider the statement P(x,y) "x is the mother of y" Evaluate the truth value for these statements (give your rationale) a) Vy3x p(x,y) b)3xVy px.y)

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