$$\lnot \forall y: Y.A\vdash \exists y: Y.(A\rightarrow B)$$

Need to prove that LHS entails RHS, however I'm confused as to how to do it. Never used a negation on a universal quantifier before.

Any help would be appreciated.


HINT $$\lnot \forall y: Y.A \equiv \exists y: \lnot Y.A$$

  • $\begingroup$ Thanks, I researched on De Morgan's for Quantifiers and figured it out! $\endgroup$ – user114083 Dec 7 '13 at 11:26

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