Prove that ¬ ∃ x (F (x) ∧ H (x)), ∀ x (G (x) → H (x)) - Code World

Prove that ¬ ∃ x (F (x) ∧ H (x)), ∀ x (G (x) → H (x))

Others 2021-03-30 21:41:37 views: null

前提： $\lnot \exist x(F(x)\land H(x)),\forall x(G(x)\rightarrow H(x))$
结论： $\forall x(G(x)\rightarrow \lnot F(x))$

(1). $\forall x(G(x)\rightarrow H(x))$
(2). $G (c)$
(3). $H (c)$
(4). $\lnot \exist x(F(x)\land H(x))$
(5). $\lnot F(c)$
(6). $G(c)\rightarrow \lnot F(c)$
(7). $\forall x(G(x)\rightarrow\lnot F(x))$

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Origin blog.csdn.net/qq_41870170/article/details/114661588

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