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Consider the following statement: Everyone who has worked hard will pass the exam. John has worked hard. As a result, John will pass the exam.

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Consider the following statement: Everyone who has worked hard will pass the exam. John has worked hard. As a result, John will pass the exam. (a) State appropriate predicates and variables, and then formalise into an argument in predicate logic. [4 marks] (b) Prove the formula in (a) using predicate logic, stating clearly how each step of the proof is derived from previous steps [ 6 marks]

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