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  3. consider a ?nite set a = {a1,...,an}, and let p(x)

Consider a ?nite set A = {a1,...,an}, and let P(x) be some statement. – Explain why ?x(x?A...

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Advance Math

Consider a ?nite set A = {a1,...,an}, and let P(x) be somestatement.

– Explain why ?x(x?A ? P(x)) is equivalent toP(a1)?P(a2)?...?P(an).

– Explain why ?x(x?A?P(x)) is equivalent toP(a1)?P(a2)?...?P(an).

(It may help to think about some special cases like n = 2, n =3. A formal proof is not required here.)

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