RIGHT_AND_FORALL_CONV
Conv.RIGHT_AND_FORALL_CONV : conv
Moves a universal quantification of the right conjunct outwards through a conjunction.
When applied to a term of the form P /\ (!x.Q), the conversion
RIGHT_AND_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).
See also
Conv.AND_FORALL_CONV,
Conv.FORALL_AND_CONV,
Conv.LEFT_AND_FORALL_CONV