---------------------------------------------------------------------- SWAP_PEXISTS_CONV (PairRules) ---------------------------------------------------------------------- SWAP_PEXISTS_CONV : conv KEYWORDS conversion, quantifier, existential. LIBRARY pair SYNOPSIS Interchanges the order of two existentially quantified pairs. DESCRIBE When applied to a term argument of the form {?p q. t}, the conversion {SWAP_PEXISTS_CONV} returns the theorem: |- (?p q. t) = (?q t. t) FAILURE {SWAP_PEXISTS_CONV} fails if applied to a term that is not of the form {?p q. t}. SEEALSO Conv.SWAP_EXISTS_CONV, PairRules.SWAP_PFORALL_CONV. ----------------------------------------------------------------------