File: FORALL_NOT_CONV.doc

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\DOC FORALL_NOT_CONV

\TYPE {FORALL_NOT_CONV : conv}

\SYNOPSIS
Moves a universal quantification inwards through a negation.

\KEYWORDS
conversion, quantifier, universal, negation.

\DESCRIBE
When applied to a term of the form {!x.~P}, the conversion {FORALL_NOT_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, NOT_EXISTS_CONV, NOT_FORALL_CONV.

\ENDDOC