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