Question

Please explained using formal proofs in predicate logic

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)] → QxP' (x).

Answer #1

**ANSWER :**

**GIVENTHAT :**

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).

In each part below, give a formal proof that the sentence given
is valid or else provided an interpretation in which the sentence
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(b) [∃xA(x) ∧ ∃xB(x)] → ∃x[A(x) ∧ B(x)].

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*******please don't copy and paste and don't use handwriting
****
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