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Reason ер Vx(P(x)v Q(x)) P(a)vQ(a) P(a)vQ(a)v R(a) Premise Vx(-P(x)^Q(x))→R(x)) (-P(a)^Q(a))→R(a) -(-P(a)^Q(a))v R(a) P(a)v¬Q(a)v R(a) Premise V P(a)v R(a) -(-R(a))v P(a) - -R(a)→ P(a) . Vx(¬R(x)→P(x)

Reason ер Vx(P(x)v Q(x)) P(a)vQ(a) P(a)vQ(a)v R(a) Premise Vx(-P(x)^Q(x))→R(x)) (-P(a)^Q(a))→R(a) -(-P(a)^Q(a))v R(a) P(a)v¬Q(a)v R(a) Premise V P(a)v R(a) -(-R(a))v P(a) - -R(a)→ P(a) . Vx(¬R(x)→P(x)

Advanced Engineering Mathematics
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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5. [1.6 In the following argument, give a justification for each step. Conclusion: Vx(-¬R(x)→P(x)) Vx(P(x)vQ(x)) Vx(-P(x)^Q(x))→ R(x)) Premises: Step 1. Vx(P(x)vQ(x)) 2. P(a)v Q(a) 3. Р(а)v@ (a)v R(a) Reason Premise 4. Vx((¬P(x)^Q(x))→ R(x)) 5. (-P(a)^Q(a))→ R(a) 6. –(¬P(a)^Q(a) v R(a) 7. P(a)v¬Q(a)v R(a) 8. P(a)v R(a) Premise 9. –(¬R(a)) v P(a) 10. —R(a) > Р(а) 11. Vx(¬R(x)→ P(x)) ->
Transcribed Image Text:5. [1.6 In the following argument, give a justification for each step. Conclusion: Vx(-¬R(x)→P(x)) Vx(P(x)vQ(x)) Vx(-P(x)^Q(x))→ R(x)) Premises: Step 1. Vx(P(x)vQ(x)) 2. P(a)v Q(a) 3. Р(а)v@ (a)v R(a) Reason Premise 4. Vx((¬P(x)^Q(x))→ R(x)) 5. (-P(a)^Q(a))→ R(a) 6. –(¬P(a)^Q(a) v R(a) 7. P(a)v¬Q(a)v R(a) 8. P(a)v R(a) Premise 9. –(¬R(a)) v P(a) 10. —R(a) > Р(а) 11. Vx(¬R(x)→ P(x)) ->
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