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In: Advanced Math

Exercise 1. Establish the following logical equivalencies where the domain of P(x) is non-empty and Adoes...

Exercise 1. Establish the following logical equivalencies where the domain of P(x) is non-empty and Adoes not depend upon x:
i) ∀x(A → P(x)) ≡ A → ∀xP(x).
ii) ∀x(P(x) → A) ≡ ∃xP(x) → A.

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