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(∃X)(∃y)(Axy • X=y) ⊃ (∃X)Axx
-Which of the Following Propositions ∨ \lor

Question 33

Multiple Choice

(∃x) (∃y) (Axy • x=y) ⊃ (∃x) Axx
-Which of the following propositions is also derivable in F?


A) ~(∃x) (∃y) (Axy • x=y) ⊃ (∃x) Axx
B) (∀x) (∀y) (Axy ⊃ x≠y) ∨ \lor (∃x) Axx
C) (∀x) ~Axx ⊃ ~(∀x) (∀y) (Axy ⊃ x≠y)
D) ~(∃x) Axx ⊃ (∀x) (∀y) (Axy • x=y)
E) ~(∃x) (∃y) (Axy • x=y) ∨ \lor (∀x) ~Axx

Correct Answer:

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