File: OR_EXISTS_CONV.doc

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\DOC OR_EXISTS_CONV

\TYPE {OR_EXISTS_CONV : conv}

\SYNOPSIS
Moves an existential quantification outwards through a disjunction.

\KEYWORDS
conversion, quantifier, existential, disjunction.

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

\SEEALSO
EXISTS_OR_CONV, LEFT_OR_EXISTS_CONV, RIGHT_OR_EXISTS_CONV.

\ENDDOC