Construct proofs for given valid arguments using the eight rules of inference.

Using the eight rules of inference (Simplication, Conjunction, Addition, Constructive Dilemma, Modus Ponens, Modus Tollens, Disjunctive Syllogism and Hypothetical Syllogism), construct a proof for each of the following valid arguments.

A)
1. (C & ~E) > (E v T) ——- Premise
2. C ——- Premise
3. ~E / T ——- Premise / Conclusion

B)
1. (R v P) > (G v M) ——- Premise
2. R & U ——- Premise
3. (G > E) & (M > F) ——- Premise
4. (E v F) > C / C ——- Premise / Conclusion

C)
1. (P v S) > (L > R) & (I > M) ——- Premise
2. (P v N) > (L v I) ——- Premise
3. (P & W) / (R v M) ——- Premise / Conclusion