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Negation of the proposition $\exists \: x \: H(x)$ is

  1. $\exists \: x \: \neg \: H(x)$
  2. $\forall \: x \: \neg \: H(x)$
  3. $\forall \: x \: H(x)$
  4. $\neg \: x \: H(x)$
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Annwer is option 2)

Simple statement question:

Negation of the proposition ⱻ x H(x)= Ɐ x ¬H(x)           // ~ⱻ x =Ɐ x

Answer:

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