Show that x(P(x)Q(x)) and xP(x)xQ(x) are logically equivalent. Are x(P(x) Q(x)) and xP(x) xQ(x) logically equivalent?
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Show that ∃x(P(x)∨Q(x)) and ∃xP(x)∨∃xQ(x) are logically equivalent. Are ∃x(P(x)∧ Q(x)) and ∃xP(x) ∧ ∃xQ(x) logically equivalent?
Related Book For
Discrete Mathematics and Its Applications
ISBN: 978-0073383095
7th edition
Authors: Kenneth H. Rosen
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