\DOC PSELECT_CONV \TYPE {PSELECT_CONV : conv} \KEYWORDS conversion, epsilon. \LIBRARY pair \SYNOPSIS Eliminates a paired epsilon term by introducing a existential quantifier. \DESCRIBE The conversion {PSELECT_CONV} expects a boolean term of the form {"t[@p.t[p]/p]"}, which asserts that the epsilon term {@p.t[p]} denotes a pair, {p} say, for which {t[p]} holds. This assertion is equivalent to saying that there exists such a pair, and {PSELECT_CONV} applied to a term of this form returns the theorem {|- t[@p.t[p]/p] = ?p. t[p]}. \FAILURE Fails if applied to a term that is not of the form {"p[@p.t[p]/p]"}. \SEEALSO SELECT_CONV, PSELECT_ELIM, PSELECT_INTRO, PSELECT_RULE. \ENDDOC