In the Following Proof, Which Justification Is Correct for Line

question 115

Multiple Choice

In the following proof, which justification is correct for line 11? $\begin{array}{llcc} \text { (1) \( (x) [\mathrm{G} x \supset(y) (\mathrm{H} y \supset \mathrm{I} x y) ] \) } && \text {Premis} \\ \text {(2) \( (\exists x) [\mathrm{G} x \cdot(\exists y) \sim \mathrm{I} x y] \) } &\text { \(I \sim(x) \mathrm{H} x\) }&\text {Premise/Conclusion} \\ \text { (3) \( (x) \mathrm{H} x \) } && \text {Assumption}\\ \text {(4) \( \mathrm{Ga} \cdot(\exists y) \sim \mathrm{Iay} \) } && \text {\( 2 \mathrm{EI} \) }\\ \text {(5) \( \mathrm{Ga} \) } && \text {\( 4 \operatorname{Sinp} \) }\\ \text { (6) ( \( \exists y) \sim \) Iay } && \text {\( 4 \operatorname{Sinp} \) }\\ \text { (7) \( -\mathrm{Iab} \) } & & \text {\( 6 \mathrm{EI} \) } \\ \text {(8) \( \mathrm{Ga} \supset(\mathrm{y}) (\mathrm{Hy} \supset \mathrm{Iay}) \) } && \text {\( 1 \mathrm{UI} \) }\\ \text { (9) \( (\mathrm{y}) (\mathrm{Hy} \supset \mathrm{Iay}) \) } && \text {\( 5,8 \mathrm{MP} \) }\\ \text {(10) \( \mathrm{Hb} \supset \mathrm{Iab} \) } &&\text {\( 9 \mathrm{UI} \) }\\ \text { (11) \( \mathrm{Hb} \) } &\\ &\\\end{array}$

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Definitions:

Construction Company

A business entity focused on the building of residential, commercial, or industrial structures, infrastructure projects, and associated activities.

Conditional Probabilities

The chances of an event's occurrence, predicated on the fact that another event has happened.

Bayes' Law

A theorem using probability to update predictions or beliefs in light of new evidence.

Probability Tree

A diagram that shows the possible outcomes of a series of related probabilities.