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In the Following Proof, Which Justification Is Correct for Line

question 92

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In the following proof, which justification is correct for line 5? (1)  (y) (GyHy)   Premise  (2)  [(z) Hz(z) I] /(x) Gx Premise/Conclusion  (3)  (x) Gx Assumption  (4)  Ga  3EI  (5)  GaHa\begin{array}{llcc} \text {(1) \( (y) (\mathrm{G} y \supset \mathrm{Hy}) \) } &&\text { Premise } \\ \text { (2) \( \sim[(\exists z) \mathrm{Hz} \vee(\exists z) \mathrm{I}] \) } &\text {\(/ \sim(\exists x) \mathrm{G} x\) } &\text {Premise/Conclusion } \\ \text { (3) \( (\exists x) \mathrm{G} x \) } &&\text {Assumption } \\ \text { (4) \( \mathrm{Ga} \) } &&\text { \( 3 \mathrm{EI} \) } \\ \text { (5) \( \mathrm{Ga} \supset \mathrm{Ha} \) } &\\\end{array}


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