Part II (10 points, 2 points per proof) For each of the following arguments construct a formal proof of validity by adding exactly three statements (do not use CP or RAA). A) 1. P→ Q 2. R v~Q 3. ~R~S B) 1. (P⚫Q) → R 2. (~R →~Q) → S ~Q) → S . P → S ~P C) D) 1. ~P v (Q⚫R) .. P→ Q 1. Pv~(Q ~R) • .. (P v ~Q) v R E) • 1. [Pv (Q ~R)] → S 2. Q 3. Q ~(P v ~R) .. (P v ~R) → S
Part II (10 points, 2 points per proof) For each of the following arguments construct a formal proof of validity by adding exactly three statements (do not use CP or RAA). A) 1. P→ Q 2. R v~Q 3. ~R~S B) 1. (P⚫Q) → R 2. (~R →~Q) → S ~Q) → S . P → S ~P C) D) 1. ~P v (Q⚫R) .. P→ Q 1. Pv~(Q ~R) • .. (P v ~Q) v R E) • 1. [Pv (Q ~R)] → S 2. Q 3. Q ~(P v ~R) .. (P v ~R) → S
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.3: The Field Of Quotients Of An Integral Domain
Problem 6E
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