4. Construct proofs for the following, by using the rules of inference ONLY (= Unit 7) [1 mark each] a. (Av B) ~C, E (~Av F), (E. ~F) /. ~ C. ~ F b. (CD) A, C > E, B > ~ D, F (B v E), (F. ~ E) /.. A c. (SP) (QvR), W (QT), W. (AR), W (ST), (P. ~ T) /..~ A d. (ST) (WvX), TX, (~X. S) /. W e. (A v B) (C v D), CE, D~F, (A. ~ E) /..~ Fv~ G - f. (Av B) (~ Cv D), ((EA). (FD)), (Ev G) (F v H), A(TC), E. ~H~T 5. Which of the following are substitution instances of [(p. q) > ~ r]? (=Unit 7) Pay attention to the structure (the operations, and their positions) [0.50 mark] a. (A. B) C b. (AB) C c. (~(Av B). C) > ~ D d. (AA) A e. ((A. B) v (A. C)) > ~ D

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