Sentential Logic Practice: Assessing Some Proofs

1.) A&B, B > (D&E), derive B > E
(A&B)
B
(D&E)
E
B > E

2.) S > (Q&R), S, derive R
S
(Q&R)
R

3.) (B > G) & (J > M), B, J, derive (G&M)
(B > G) & (J > M)
B > G
B
J > M
J
G
M
(G&M)

4.) (A > C) & (N > P) > (D v H), A > C, N > P, derive (D v H) v (D&H)
[(A > C) & (N > P)] > (D v H)
A > C
N > P
D v H
(D v H) v (D&H)

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