The domain for variable x is the set of all integers. Select the correct rule to replace (?) in the proof segment below: 1. 2. 3. 5 is an integer vx(Q(x)→P(x)) Q(5)→P(5) Universal instantiation O Universal generalization Existential instantiation Existential generalization Hypothesis Hypothesis (?)
The domain for variable x is the set of all integers. Select the correct rule to replace (?) in the proof segment below: 1. 2. 3. 5 is an integer vx(Q(x)→P(x)) Q(5)→P(5) Universal instantiation O Universal generalization Existential instantiation Existential generalization Hypothesis Hypothesis (?)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Discrete mathematics
![The domain for variable \( x \) is the set of all integers. Select the correct rule to replace (?) in the proof segment below:
\[
\begin{array}{|c|c|}
\hline
1. & 5 \text{ is an integer} & \text{Hypothesis} \\
2. & \forall x(Q(x) \rightarrow P(x)) & \text{Hypothesis} \\
3. & Q(5) \rightarrow P(5) & (?) \\
\hline
\end{array}
\]
**Options:**
- Universal instantiation
- Universal generalization
- Existential instantiation
- Existential generalization](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2a87bda2-77ee-4643-b996-8126adae9acf%2F63c9644c-3d3f-4b2b-b28b-2ec37b9477f3%2F10xsq15_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The domain for variable \( x \) is the set of all integers. Select the correct rule to replace (?) in the proof segment below:
\[
\begin{array}{|c|c|}
\hline
1. & 5 \text{ is an integer} & \text{Hypothesis} \\
2. & \forall x(Q(x) \rightarrow P(x)) & \text{Hypothesis} \\
3. & Q(5) \rightarrow P(5) & (?) \\
\hline
\end{array}
\]
**Options:**
- Universal instantiation
- Universal generalization
- Existential instantiation
- Existential generalization
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