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4. Consider the formula A = Vx (p(x) →q(x)) → (Vxp(x) →xq(x)). (a) Show that A is valid. (b) Show that the converse of A is not valid.

4. Consider the formula A = Vx (p(x) →q(x)) → (Vxp(x) →xq(x)). (a) Show that A is valid. (b) Show that the converse of A is not valid.

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section: Chapter Questions
Problem 23CLR
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4. Consider the formula A = Vx (p(x) →q(x)) → (Vxp(x) →xq(x)). (a) Show that A is valid. (b) Show that the converse of A is not valid.
Transcribed Image Text:4. Consider the formula A = Vx (p(x) →q(x)) → (Vxp(x) →xq(x)). (a) Show that A is valid. (b) Show that the converse of A is not valid.
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