Solve the following problems and then explain in paragraph form, how you took the steps you did to solve the problem that way (ex: why did you apply conjunction elimination to steps one and two?)

1. From the below premises, prove T

( P & Q)

( R P)

( R S)

(S T)

2) From the below premises, prove P

(P Q)

( Q v R)

( S R)

( S (Q & T))

T

3) From the below premises, prove P

(Q P)

( Q R)

R

4) From the below premises, prove (TV)

(P(QR))

P

((QR)S))

((TV)S