Question: Please solve correctly with reasoning and explanation 3. Find an error in the following proof and explain why it is an error. (20pts) (a) Proving

Please solve correctly with reasoning and explanation

3. Find an error in the following proof and explain why it is an error. (20pts) (a) Proving P(x)xP(x) (1) P(x)-premise (2) xP(x) - universal generalization (b) Proving xP(x)yP(y) (1) xP(x) - premise (2) P(y) - existential instantiation ( y in a new free variable name) (3) yP(y) - universal generalization (c) Proving x(P(x)Q(x)),x(P(x)R(x))x(R(x)Q(x)) (1) x(P(x)Q(x)) - premise (2) P(c)Q(c) - universal instantiation (c is a constant) (3) x(P(x)R(x)) - premise (4) P(c)R(c) - existential instantiation (5) P(c) - conjunction elimination (6) Q(c) - modus ponens for (2) and

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