Multiple Choice
(∀x) [Px ⊃ (∃y) Rxy] ⊃ [(∀x) (∀y) ∼Rxy ⊃ ∼(∃x) Px]
-Which of the following propositions is also derivable in F?
A) (∀x) [Px ⊃ (∃y) Rxy] ⊃ [(∃x) ~Px ⊃ (∃x) (∃y) Rxy]
B) (∀x) [(∃y) Rxy ⊃ ~Px] ⊃ [(∃x) Px ⊃ (∃x) (∃y) Rxy]
C) (∀x) [Px ⊃ (∃y) Rxy] ⊃ [(∃x) Px ⊃ (∃x) (∃y) Rxy]
D) (∀x) [~(∃y) Rxy ⊃ Px] ⊃ [(∃x) Px ⊃ (∃x) (∃y) Rxy]
E) (∀x) [Px ⊃ (∃y) Rxy] ⊃ [(∃x) ~Px ⊃ (∃x) (∃y) ~Rxy]
Correct Answer:
Verified
Correct Answer:
Verified
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