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[tex]

( \forall x \in S \forall y P(x) ) <=> \neg ( \exists x \in S^{c} \exists y \neg P(x) )

[/tex]

Attempt at solution

I think it should be

[tex]

( \forall x \in S \forall y P(x) ) <=> \neg ( \exists x \in S \exists y \neg P(x) )

[/tex]

The diiference to the above statement is [tex]S^{c}[/tex].

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# Logic - Is this equivalent?

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