4) Consider the equivalence claim: (Vx € R)(3! y E R)P(x,y) = (3! y € R)(Vx € R)P(x,y). (4.1) What is the domain of the predicate P(x, y)? (4.2) Give an example of a predicate P(x, y) for which the above claim is true. (4.3) Give an example of a predicate P(x, y) for which the above claim is false.

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ISBN:9780470458365
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4) Consider the equivalence claim:
(Vx E R)(3! y E R)P(x,y) = (3! y E R)(Vx E R)P(x,y).
(4.1) What is the domain of the predicate P(x, y)?
(4.2) Give an example of a predicate P(x, y) for which the above claim is true.
(4.3) Give an example of a predicate P(x, y) for which the above claim is false.
Transcribed Image Text:4) Consider the equivalence claim: (Vx E R)(3! y E R)P(x,y) = (3! y E R)(Vx E R)P(x,y). (4.1) What is the domain of the predicate P(x, y)? (4.2) Give an example of a predicate P(x, y) for which the above claim is true. (4.3) Give an example of a predicate P(x, y) for which the above claim is false.
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