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Formulas are logically equivalent

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Question

Which of the following formulas are logically equivalent to:

(∀y)(P(x,y)→P(y,x))→P(x,x)?

(No matter what the condition P means)

(∀y)(P(y,y) --> P(y,y)) --> P(x,x)

(∀z)(P(x,z) --> P(z,x)) --> P(x,x)

(∀z)(P(x,z) --> P(z,x)) --> P(z,z)

(∀x)(P(x,y) --> P(y,x)) --> P(x,x)

 

Reference no: EM133234861

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