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((³x≤xP(x)) ^ (VxɛxP(x) ⇒ Q(x))) = 3x≤XQ(x). EX

((³x≤xP(x)) ^ (VxɛxP(x) ⇒ Q(x))) = 3x≤XQ(x). EX

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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Are the following statements true for every set X and all open sentences P(x) and Q(x) ? Justify your answer.
Transcribed Image Text:Are the following statements true for every set X and all open sentences P(x) and Q(x) ? Justify your answer.
((3x≤xP(x)) ^ (Vx=xP(x) ⇒ Q(x))) ⇒ 3x≤xQ(x).
Transcribed Image Text:((3x≤xP(x)) ^ (Vx=xP(x) ⇒ Q(x))) ⇒ 3x≤xQ(x).
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