---------------------------------------------------------------------- RIGHT_OR_FORALL_CONV (Conv) ---------------------------------------------------------------------- RIGHT_OR_FORALL_CONV : conv SYNOPSIS Moves a universal quantification of the right disjunct outwards through a disjunction. KEYWORDS conversion, quantifier, universal, disjunction. DESCRIBE When applied to a term of the form {P \/ (!x.Q)}, the conversion {RIGHT_OR_FORALL_CONV} returns the theorem: |- P \/ (!x.Q) = (!x'. P \/ (Q[x'/x])) where {x'} is a primed variant of {x} that does not appear free in the input term. FAILURE Fails if applied to a term not of the form {P \/ (!x.Q)}. SEEALSO Conv.OR_FORALL_CONV, Conv.FORALL_OR_CONV, Conv.LEFT_OR_FORALL_CONV. ----------------------------------------------------------------------