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(Solved): (b) Use natural deduction rules to prove the validity of the following formulas. 1. \( (A \vee B) ...
(b) Use natural deduction rules to prove the validity of the following formulas. 1. \( (A \vee B) \rightarrow C \vdash(A \rightarrow B) \vee(A \rightarrow C) \) 2. \( \forall x(P(x) \rightarrow Q(x)), \exists x(P(x)) \vdash \exists x(Q(x)) \)
Expert Answer
Here's a natural deduction proof for the first formula: (AVB) premise A premis