4. Construct proofs for the following theorems, starting with an assumption, not with the theorem itself, which is the conclusion you must reach, not the initial premise! (= Unit 9 - plus the rules from Units 7 and 8) [1 mark each]. a. (~ (p. q) = (sv r)) > (~ (p > ~s) > ~ q) b. p (p. (q v~q)) c. ((pq) (q> r)) v (r > p) d. ((pvq) (r. ~s)) (s ((t. w) > ~ p))
4. Construct proofs for the following theorems, starting with an assumption, not with the theorem itself, which is the conclusion you must reach, not the initial premise! (= Unit 9 - plus the rules from Units 7 and 8) [1 mark each]. a. (~ (p. q) = (sv r)) > (~ (p > ~s) > ~ q) b. p (p. (q v~q)) c. ((pq) (q> r)) v (r > p) d. ((pvq) (r. ~s)) (s ((t. w) > ~ p))
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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