File: SWAP_PFORALL_CONV.doc

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\DOC SWAP_PFORALL_CONV

\TYPE {SWAP_PFORALL_CONV : conv}

\SYNOPSIS
Interchanges the order of two universally quantified pairs.

\KEYWORDS
conversion, quantifier, existential.

\LIBRARY pair

\DESCRIBE
When applied to a term argument of the form {!p q. t}, the conversion
{SWAP_PFORALL_CONV} returns the theorem:
{
   |- (!p q. t) = (!q t. t)
}

\FAILURE
{SWAP_PFORALL_CONV} fails if applied to a term that is not of the form
{!p q. t}.

\SEEALSO
SWAP_PEXISTS_CONV.

\ENDDOC