Suppose that the following statements are true: (x) (A(x) B(x) C(x)) (x) (B(x) C(x))
Question:
Suppose that the following statements are true:
(∀x) (A(x) ∧ B(x) ⇒ C(x))
(∃x) (B(x) ∧ ¬C(x))
Show using the laws of first-order logic that the following statement is true:
(∃x)¬A(x)
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