7. [4 marks] Use the rules of inference to prove the following: (p^ q) ^ (rp) ^ (¬r → s) ^ (s →t) ⇒ t. 8. [7 marks] Expr
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7. [4 marks] Use the rules of inference to prove the following: (p^ q) ^ (rp) ^ (¬r → s) ^ (s →t) ⇒ t. 8. [7 marks] Expr
7. [4 marks] Use the rules of inference to prove the following: (p^ q) ^ (rp) ^ (¬r → s) ^ (s →t) ⇒ t. 8. [7 marks] Express the following argument in symbolic form and test its logical va- lidity by hand. If the argument is invalid, give a counterexample; otherwise, prove its validity using the rules of inference. If oil prices increase, there will be inflation. If there is inflation and wages increase, then inflation will get worse. Oil prices have increased but wages have not, so inflation will not get worse.
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