4. Use rules of inference to show that the hypotheses $(\neg r \lor \neg f) \to (s \land q)$ and $s \to t$ and $\neg t$ implies $r$ . $1. \to t 2. s \to t 3. (\to \lor \to f) \to (s \land q) Premise Premise Premise$ 5. Prove using the rules of inference that $\forall x (R (x) \to P (x))$ and $R (a)$ imply the conclusion $P (a)$ . 1. $\forall x (R (x) \to P (x))$ premise 2. $R (a)$ premise

Question

4. Use rules of inference to show that the hypotheses

(\neg r \lor \neg f) \to (s \land q)

and

s \to t

and

\neg t

implies

r

.

1. \to t 2. s \to t 3. (\to \lor \to f) \to (s \land q) Premise Premise Premise

5. Prove using the rules of inference that

\forall x (R (x) \to P (x))

and

R (a)

imply the conclusion

P (a)

. 1.

\forall x (R (x) \to P (x))

premise 2.

R (a)

premise

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