Consider the following logical proof of exists y (urcorn Q(y)) from the hypothes

Question

Consider the following logical proof of exists y (urcorn Q(y)) from the hypotheses that forall x exists y (Q(y) rightarrow urcorn P(x)) and exists x(P(x)). Match each of the above rules (1)-(5) with one of the inference rules in Table 1.11.1 of the zyBook for this course. Rule (1) A. Simplification Rule (2) B. Conjunction Rule(3) C. Existential Generalization Rule (4) D. Addition Rule (5) E. Modus F. Existential Instantiation G. Universal Generalization H. Universal Instantiation I. Modus Pollens

Explanation / Answer

Rule 1 - F [Existential Instantiation on 1]
Rule 2 - H [Universal Instantiation on 3]
Rule 3 - F [Existential Instantiation on 1]
Rule 4 - E [Modus Tollens on 2&5]
Rule 5 - C [Existential Generalization on 6]

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