(∀X)[Px ⊃ (∃Y)Qxy] ⊃ [(∃X)Px ⊃ (∃X)(∃y)Qxy]
-Which of the Following

question 50

Multiple Choice

(∀x) [Px ⊃ (∃y) Qxy] ⊃ [(∃x) Px ⊃ (∃x) (∃y) Qxy]
-Which of the following propositions is also derivable in F?

• A) (∀x)[~(∃y)Qxy ⊃ ~Px] ⊃ [(∀x)Px \( \lor \) ~(∃x)(∃y)Qxy]
• B) (∀x)[Px ⊃ (∃y)Qxy] ⊃ [(∀x)∼Px \( \lor \) (∃x)(∃y)Qxy]
• C) (∀x)[~(∃y)Qxy ⊃ ~Px] ⊃ [~(∀x)Px \( \lor \) ~(∃x)(∃y)Qxy]
• D) (∀x)[~(∃y)Qxy ⊃ ~Px] ⊃ ~[(∀x)Px \( \lor \) ~(∃x)(∃y)Qxy]
• E) (∀x)[Px ⊃ (∃y)Qxy] ⊃ [(∀x)∼Px \( \lor \) (∃x)(∃y)~Qxy]

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