AND_FORALL_CONV
Conv.AND_FORALL_CONV : conv
Moves a universal quantification outwards through a conjunction.
When applied to a term of the form (!x.P) /\ (!x.Q), the conversion
AND_FORALL_CONV returns the theorem:
|- (!x.P) /\ (!x.Q) = (!x. P /\ Q)
Failure
Fails if applied to a term not of the form (!x.P) /\ (!x.Q).
Comments
It may be easier to use higher order rewriting with FORALL_AND_THM.
See also
Conv.FORALL_AND_CONV,
Conv.LEFT_AND_FORALL_CONV,
Conv.RIGHT_AND_FORALL_CONV