Complete the logical proof for the following argument. c is an element in the domain. P(c) \x(P(x) → Q(x)) :: Q(c) Step Proposition 1 c is an element in the domain 2 3 4 5 P(c) → Q(c) Q(c) Justification Hypothesis

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Complete the logical proof for the following argument.
c is an element in the domain.
P(c)
Vx(P(x)→ Q(x))
:. Q(c)
Step
AWN -
Proposition
c is an element in the domain
P(c) → Q(c)
Q(c)
Justification
Hypothesis
Transcribed Image Text:Complete the logical proof for the following argument. c is an element in the domain. P(c) Vx(P(x)→ Q(x)) :. Q(c) Step AWN - Proposition c is an element in the domain P(c) → Q(c) Q(c) Justification Hypothesis
Prove that the following argument is valid.
a is an element in the domain.
Vx(P(x) V Q(x))
-P(a)
:. 3xQ(x)
Step
1
2
3
4
5
6
Proposition
a is an element in the domain
3xQ(x)
Justification
Hypothesis
Universal instantiation, 1, 2
Hypothesis
Transcribed Image Text:Prove that the following argument is valid. a is an element in the domain. Vx(P(x) V Q(x)) -P(a) :. 3xQ(x) Step 1 2 3 4 5 6 Proposition a is an element in the domain 3xQ(x) Justification Hypothesis Universal instantiation, 1, 2 Hypothesis
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