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))

Given ϕx and ψx are the formulas in the predicate logic with free variables. a) To prove…

Answered: Sean ø(x) and U) formulas in predicate…

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 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))