Sean ø(x) and U) formulas in predicate logic with a free variable. Show that: a) ¬Vr(9(x)) = x(¬y(x)) b) 3r(4(x) V ý(x)) = 3x(9(x)) V (¥(x))
Sean ø(x) and U) formulas in predicate logic with a free variable. Show that: a) ¬Vr(9(x)) = x(¬y(x)) b) 3r(4(x) V ý(x)) = 3x(9(x)) V (¥(x))
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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![Sean ø(x) and y(x) formulas in predicate logic with a free variable. Show that:
a) -Vr(9(x)) = 3x(¬p(x))
b) 3x(9(x) V Þ(x)) = 3x(4(x)) V 3¤(4(x))](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc74acc4c-0080-45b2-9b20-8636a7bf928c%2F9da57ffe-b7de-473c-be09-41b048328389%2F76uxjy_processed.png&w=3840&q=75)
Transcribed Image Text:Sean ø(x) and y(x) formulas in predicate logic with a free variable. Show that:
a) -Vr(9(x)) = 3x(¬p(x))
b) 3x(9(x) V Þ(x)) = 3x(4(x)) V 3¤(4(x))
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