∀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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 31E
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Question
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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