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  • https://math.libretexts.org/Bookshelves/Mathematical_Logic_and_Proof/Transition_to_Higher_Mathematics_(Dumas_and_McCarthy)/03%3A_New_Page/3.05%3A_New_Page
    Suppose F(x) is the formula: \text { " } x \in \mathbb{N} \text { and } x \text { is a multiple of } 4 . " Let E(x) be the formula: \text { " } x \text { is even." } Then \[(\forall x)...Suppose F(x) is the formula: \text { " } x \in \mathbb{N} \text { and } x \text { is a multiple of } 4 . " Let E(x) be the formula: \text { " } x \text { is even." } Then (\forall x)[F(x) \Rightarrow E(x)] . It does not suffice to observe that 4,8 and 12 are all even.

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