∀x∃y.P(x,y)≡∀y∃x.P(x,y). True/False 2. ∀x(P(x)∨Q(x)) ≡ ∀x(Q(x)∨P(x)) True/False 3. ∀x∀yP(x,y)≡∀y∀xP(x,y) True/False 4. ∃x.(P(x)∨Q(x))≡(∃x.P(x))∨(∃x.Q(x)) True/False
∀x∃y.P(x,y)≡∀y∃x.P(x,y). True/False 2. ∀x(P(x)∨Q(x)) ≡ ∀x(Q(x)∨P(x)) True/False 3. ∀x∀yP(x,y)≡∀y∀xP(x,y) True/False 4. ∃x.(P(x)∨Q(x))≡(∃x.P(x))∨(∃x.Q(x)) True/False
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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1. ∀x∃y.P(x,y)≡∀y∃x.P(x,y). True/False
2. ∀x(P(x)∨Q(x)) ≡ ∀x(Q(x)∨P(x)) True/False
3. ∀x∀yP(x,y)≡∀y∀xP(x,y) True/False
4. ∃x.(P(x)∨Q(x))≡(∃x.P(x))∨(∃x.Q(x)) True/False
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