File: NOT_EXISTS_CONV.doc

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\DOC NOT_EXISTS_CONV

\TYPE {NOT_EXISTS_CONV : conv}

\SYNOPSIS
Moves negation inwards through an existential quantification.

\KEYWORDS
conversion, quantifier, existential, negation.

\DESCRIBE
When applied to a term of the form {~(?x.P)}, the conversion
{NOT_EXISTS_CONV} returns the theorem:
{
   |- ~(?x.P) = !x.~P
}
\FAILURE
Fails if applied to a term not of the form {~(?x.P)}.

\SEEALSO
EXISTS_NOT_CONV, FORALL_NOT_CONV, NOT_FORALL_CONV.

\ENDDOC