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Mathematics, 14.08.2021 07:50 drax13
Give a Fitch-style natural deduction proof of the sentence
∀x(P (x) ∨ ∃yQ(y)) → (∀xP (x) ∨ ∃yQ(y)).
Hint: you will need to use RAA. If it helps, you may assume you already proved
¬∀xP (x) → ∃x¬P (x) (indeed, you proved this in Problem Set 7, problem 6(c)).
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Give a Fitch-style natural deduction proof of the sentence
∀x(P (x) ∨ ∃yQ(y)) → (∀xP (x) ∨ ∃yQ(y))....
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