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3. Consider the formula A = Vr (p(x) V q(x)) → (Vx p(x) v3xq(x)). (a) Show that A is valid. (b) Show that the converse of A is not valid.

3. Consider the formula A = Vr (p(x) V q(x)) → (Vx p(x) v3xq(x)). (a) Show that A is valid. (b) Show that the converse of A is not valid.

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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3. Consider the formula A=Vx (p(x) V q(x)) → (Vxp(x) Vrq(x)). (a) Show that A is valid. (b) Show that the converse of A is not valid.
Transcribed Image Text:3. Consider the formula A=Vx (p(x) V q(x)) → (Vxp(x) Vrq(x)). (a) Show that A is valid. (b) Show that the converse of A is not valid.
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