Let p(x) and q(x) be predicates with variable x. Prove the following. • (3x)p(x) (x)~p(x) I(p q) = T(p)° U T(q)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Prove the given below.
Let p(x) and q(x) be predicates with variable x. Prove the
following.
• (3x)p(x) (Vx)~ p(x)
• 7(p → q) = I (p)° U I(q)
Transcribed Image Text:Let p(x) and q(x) be predicates with variable x. Prove the following. • (3x)p(x) (Vx)~ p(x) • 7(p → q) = I (p)° U I(q)
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