3. Identify the missing rules in this argument that supposedly shows that if Vx (P(x) V Q(x)) is true then Vx P(x) v Vx Q(x) is true. 1. Vx( P(x) V Q(x)) Premise 2. Р(c) v Q(c) 3. Р (с) Universal instantiation from 1 4. VxP(x) 5. Q(c) 6. VxQ(x) 7. Vx((P(x) v VxQ(x)) Universal generalization from 3

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.CT: Test
Problem 3CT: To prove a theorem of the form "If P, then Q" by the indirect method, the first line of the proof...
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3. Identify the missing rules in this argument that supposedly shows that if Vx (P(x) V Q(x)) is true then Vx P(x) v Vx
Q(x) is true.
1. Vx( P(x) V Q(x))
Premise
2. P(c) v Q(c)
Universal instantiation from 1
3. Р(с)
4. VxP(x)
Universal generalization from 3
5. Q(c)
6. VxQ(x)
7. Vx((Р(x) v VxQ(х))
Transcribed Image Text:3. Identify the missing rules in this argument that supposedly shows that if Vx (P(x) V Q(x)) is true then Vx P(x) v Vx Q(x) is true. 1. Vx( P(x) V Q(x)) Premise 2. P(c) v Q(c) Universal instantiation from 1 3. Р(с) 4. VxP(x) Universal generalization from 3 5. Q(c) 6. VxQ(x) 7. Vx((Р(x) v VxQ(х))
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