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Please explained using the inference rules and also show all steps. In each part below, give...

Please explained using the inference rules and also show all steps.

In each part below, give a formal proof that the sentence given is valid or else provided an interpretation in which the sentence is false.

(a) ∀xP' (x) → ∃x[P(x) → Q'(x)].

(b) ∃x[P(x) → Q'(x)] → ∃xP' (x).

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