---------------------------------------------------------------------- NOT_PEXISTS_CONV (PairRules) ---------------------------------------------------------------------- NOT_PEXISTS_CONV : conv KEYWORDS conversion, quantifier, existential, negation. LIBRARY pair SYNOPSIS Moves negation inwards through a paired existential quantification. DESCRIBE When applied to a term of the form {~(?p. t)}, the conversion {NOT_PEXISTS_CONV} returns the theorem: |- ~(?p. t) = (!p. ~t) FAILURE Fails if applied to a term not of the form {~(?p. t)}. SEEALSO Conv.NOT_EXISTS_CONV, PairRules.PEXISTS_NOT_CONV, PairRules.PFORALL_NOT_CONV, PairRules.NOT_PFORALL_CONV. ----------------------------------------------------------------------