Mathematics, 14.07.2020 22:01 hillmarilyn70pe8sy6

Use De Morgan’s law for quantified statements and the laws of propositional logic to show the following equivalences: a. ¬ x(P (x) ¬Q(x)) x(¬P (x) Q(x))∀∧≡∃∨
b. ¬ x(¬P (x) = Q(x)) x(¬P (x) ¬Q(x))∀⇒≡∃∧
c. ¬ x(¬P (x) (Q(x) ¬R(x))) x(P (x) (¬Q(x) R(x)))

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Use De Morgan’s law for quantified statements and the laws of propositional logic to show the follow...