43. Show that the following are logically valid formulas: (p(xA) ← P(xA)) ← (←0) (A) (0) (b) (3x)(y) → (3y)(3x)¢ P(E)(£A) + ¢(fA)(TE) (2)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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43. Show that the following are logically valid formulas:
(a) (Vx)(→ 4) → ((\x)¢ → (\x))
(b) (3x)(3y)¢ ↔ (y) (3x)¢
(c) (3x)(Vy) → (Vy) (3x)
Transcribed Image Text:43. Show that the following are logically valid formulas: (a) (Vx)(→ 4) → ((\x)¢ → (\x)) (b) (3x)(3y)¢ ↔ (y) (3x)¢ (c) (3x)(Vy) → (Vy) (3x)
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