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Write the negation of each of the following logical expressions so that all negations immediately precede predicates. In some cases, it may be necessary to apply one or more laws of propositional logic. SHOW ALL STEPS - **INCLUDING ALL LAWS USED - Conditional law, etc. and steps. a) x y (P(x, y) P(y, x)). (please show how you used conditional identities) and steps. b) x y P(x, y) x y Q(x, y).

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Write the negation of each of the following logical expressions so that all negations immediately precede predicates. In some cases, it may be necessary to apply one or more laws of propositional logic. SHOW ALL STEPS - **INCLUDING ALL LAWS USED - Conditional law, etc. and steps. a) x y (P(x, y) P(y, x)). (please show how you used conditional identities) and steps. b) x y P(x, y) x y Q(x, y)

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