File: NOT_FORALL_CONV.doc

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\DOC NOT_FORALL_CONV

\TYPE {NOT_FORALL_CONV : conv}

\SYNOPSIS
Moves negation inwards through a universal quantification.

\KEYWORDS
conversion, quantifier, universal, negation.

\DESCRIBE
When applied to a term of the form {~(!x.P)}, the conversion
{NOT_FORALL_CONV} returns the theorem:
{
   |- ~(!x.P) = ?x.~P
}
\noindent It is irrelevant whether {x} occurs free in {P}.

\FAILURE
Fails if applied to a term not of the form {~(!x.P)}.

\SEEALSO
EXISTS_NOT_CONV, FORALL_NOT_CONV, NOT_EXISTS_CONV.

\ENDDOC