---------------------------------------------------------------------- NOT_EXISTS_CONV (Conv) ---------------------------------------------------------------------- NOT_EXISTS_CONV : conv SYNOPSIS Moves negation inwards through an existential quantification. KEYWORDS conversion, quantifier, existential, negation. DESCRIBE When applied to a term of the form {~(?x.P)}, the conversion {NOT_EXISTS_CONV} returns the theorem: |- ~(?x.P) = !x.~P FAILURE Fails if applied to a term not of the form {~(?x.P)}. SEEALSO Conv.EXISTS_NOT_CONV, Conv.FORALL_NOT_CONV, Conv.NOT_FORALL_CONV. ----------------------------------------------------------------------