[(∀X)Pax • ∼(∃X)Pxa] ⊃ (∀X)(Pax • ∼Pxa)

question 182

Multiple Choice

[(∀x) Pax • ∼(∃x) Pxa] ⊃ (∀x) (Pax • ∼Pxa)
-Consider assuming '(∀x) Pax • ∼(∃x) Pxa' for a conditional proof of the above logical truth. Which of the
Following propositions is a legitimate second step in that proof?

• A) Assume '(∀x)Pax' for a nested indirect proof.
• B) Assume ~(∀x)Pax' for a nested indirect proof.
• C) ~(∃x)Pxa
• D) (∀x)~Pxa
• E) ∼(∃x)Pxa • (∀x)Pax

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