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