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In the Following Proof, Which Justification Is Correct for Line

Question 121

Multiple Choice

In the following proof, which justification is correct for line 7?  (1)  (x) Lx(x) (MxNx)  Premise  (2)  LbMb  /Nb  Premise/Conclusion  (3)  Lb 2 simp  (4)  (x) Lx  3EG  (5)  (x) (MxNx)   1, 4MP  (6)  MbDNb  5UI  (7)  Mb \begin{array}{llcc} \text { (1) \( (\exists x) \mathrm{L} x \supset(x) (\mathrm{M} x \supset \mathrm{N} x) \) } && \text {Premise } \\ \text { (2) \( \mathrm{Lb} \cdot \mathrm{Mb} \) } & \text { \(/ \mathrm{Nb}\) } & \text { Premise/Conclusion }\\ \text { (3) \( \mathrm{Lb} \) } && \text { 2 simp }\\ \text { (4) \( (\exists x) \mathrm{L} x \) } && \text { \( 3 \mathrm{EG} \) }\\ \text { (5) \( (x) (\mathrm{M} x \supset \mathrm{N} x) \) } && \text { 1, \( 4 \mathrm{MP} \) }\\ \text { (6) \( \mathrm{Mb} D \mathrm{Nb} \) } && \text { \( 5 \mathrm{UI} \) }\\ \text { (7) \( \mathrm{Mb} \) } & \end{array}


A) 2 Add
B) 3 DM
C) 6 Simp
D) 1, 5 MP
E) None of these answers are correct.

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