File: SWAP_EXISTS_CONV.doc

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\DOC SWAP_EXISTS_CONV

\TYPE {SWAP_EXISTS_CONV : conv}

\SYNOPSIS
Interchanges the order of two existentially quantified variables.

\KEYWORDS
conversion, quantifier, existential.

\DESCRIBE
When applied to a term argument of the form {?x y. P}, the conversion
{SWAP_EXISTS_CONV} returns the theorem:
{
   |- (?x y. P) = (?y x. P)
}
\FAILURE
{SWAP_EXISTS_CONV} fails if applied to a term that is not of the form
{?x y. P}.

\ENDDOC