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In the Following Proof, Which Justification Is Correct for Line

Question 98

Multiple Choice

In the following proof, which justification is correct for line 5?  (1)  (x) [Ix(TxxHx) ]  Premise (2)  (x) (HxDx) (y) Dy  Premise/Conclusion  /(x) (y) (IyTyx)   (3)  (x) (HxDx)   2Simp  (4)  (y) Dy  2Simp (5)  Ia(TaaHa)  \begin{array}{llcc} \text { (1) \( (x) [\operatorname{Ix}\supset(\mathrm{T} x x \supset H x) ] \) } & & \text { Premise } \\ \text {(2) \( (x) (\mathrm{H} x \supset \mathrm{D} x) \cdot(y) \sim \mathrm{D} y \) } && \text { Premise/Conclusion } \\& \text { \(/(x) (\exists y) \sim(\mathrm{I} y \cdot \mathrm{Tyx}) \) } &\\ \text { (3) \( (x) (\mathrm{H} x \supset \mathrm{D} x) \) } && \text { \( 2 \operatorname{Simp} \) } \\ \text { (4) \( (y) \sim D y \) } && \text { \( 2 \operatorname{Simp} \) } \\ \text { (5) \( \mathrm{Ia} \supset(\mathrm{Taa} \supset \mathrm{Ha}) \) } &\\\end{array}


A) 1 UI
B) 1 Simp
C) Assumption
D) 1 Add
E) None of these answers are correct.

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