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Note that x does not occur free in C in this equivalence. Prove the following using other equivalences 4. ∃x(c → A(x)) ≡...

Note that x does not occur free in C in this equivalence. Prove the following using other equivalences

4. ∃x(c → A(x)) ≡ c → ∃xA(x)

5. ∀x(A(x) → C) ≡ ∃A(x) → C

6. ∃x(A(x) → C) ≡ ∀xA(x) → C

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Answer #1

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