Question: Below are the 16 rules to be used for this problem: Using only the 16 basic intro/elim rules of Natural Deduction (you may not use

Below are the 16 rules to be used for this problem:

only the 16 basic intro/elim rules of Natural Deduction (you may not use logical equivalences), prove that Vx[P(x) + (Q(x) 1 R(x))] EX(-R(3) ::

Using only the 16 basic intro/elim rules of Natural Deduction (you may not use logical equivalences), prove that Vx[P(x) + (Q(x) 1 R(x))] EX(-R(3) :: 5x(-P(x)) pq pq (1-intro) P 9 pq (1-elim) a (V-intro) T pVq (V-elim) pva pva r p 9 q (--intro) (+-elim) p+9 9 p 9 9 P 4 q p Ha (H-intro) (H-elim) p Ha 9 p . F (--intro) ( --elim) F (elim) F (F-elim) : P(20) VP(2) (V-intro) (V-elim) VxP() P(t) P(X) : a 3.P(1) (3-intro) P(t) 3xP(x) (3-elim) a Using only the 16 basic intro/elim rules of Natural Deduction (you may not use logical equivalences), prove that Vx[P(x) + (Q(x) 1 R(x))] EX(-R(3) :: 5x(-P(x)) pq pq (1-intro) P 9 pq (1-elim) a (V-intro) T pVq (V-elim) pva pva r p 9 q (--intro) (+-elim) p+9 9 p 9 9 P 4 q p Ha (H-intro) (H-elim) p Ha 9 p . F (--intro) ( --elim) F (elim) F (F-elim) : P(20) VP(2) (V-intro) (V-elim) VxP() P(t) P(X) : a 3.P(1) (3-intro) P(t) 3xP(x) (3-elim) a

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