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a) Show that: - (Vx)(A → → (B = C)) → ((Vx) (A → B) = (Vx) (A → C)) (\x)((A v B) → C) → (Vx) (AC) b) Show that: c) [Show that: +(\x)(A → (BAC)) → (\x) (A → B)

a) Show that: - (Vx)(A → → (B = C)) → ((Vx) (A → B) = (Vx) (A → C)) (\x)((A v B) → C) → (Vx) (AC) b) Show that: c) [Show that: +(\x)(A → (BAC)) → (\x) (A → B)

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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a) Show that: (Vx)(A → (B = C)) → ((\x)(A → B) = (Vx)(A → → C)) b) Show that: (\x)((A v B) → C) → (Vx) (A → C) c) [Show that: (\x)(A → (B ^ C)) → (\x)(A → B) d) Prove (AV (Vx) BC = (\x)B(AV C), as long as x not free in A. (Hint: Translate first to Standard notation)
Transcribed Image Text:a) Show that: (Vx)(A → (B = C)) → ((\x)(A → B) = (Vx)(A → → C)) b) Show that: (\x)((A v B) → C) → (Vx) (A → C) c) [Show that: (\x)(A → (B ^ C)) → (\x)(A → B) d) Prove (AV (Vx) BC = (\x)B(AV C), as long as x not free in A. (Hint: Translate first to Standard notation)
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