Provide a derivation for the following entailment PP Q Z SZ

Provide a derivation for the following entailment:

P,(P Q) (Z S),(Z P) W,(W W) (L M), L O, M O, ¬(O P) l- U

Solution

Suppose we have this question,
P Q
P (Q ¬P)
¬P

So, we can do this by below method :

So, By referring the above one we can solve this also.

1. P Q Premise
2. P (Q ¬P) Premise
3. P Assumption
4. Q 1,3 MP
5. Q ¬P 2,3 MP
6. ¬P 4,5 MP
7. P & ¬P 3,6 Conj
8. ¬P 3-7 IP
Provide a derivation for the following entailment: P,(P Q) (Z S),(Z P) W,(W W) (L M), L O, M O, ¬(O P) l- USolutionSuppose we have this question, P Q P (Q ¬P) ¬

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