∼(∃X)(Px • Qx) ≡ (∀X)(Px ⊃ ∼Qx)

question 199

Multiple Choice

∼(∃x) (Px • Qx) ≡ (∀x) (Px ⊃ ∼Qx)
-Consider assuming '∼(∃x) (Px • Qx) ' for a conditional proof of one direction of the biconditional in the above logical truth. Which of the following propositions is a legitimate second step in that proof?

• A) (∀x) ∼ (Px • Qx)
• B) Px ⊃ ∼Qx
• C) Px • Qx
• D) Pc • Qc
• E) ∼(∀x)(Px ⊃ ∼Qx)

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