AND_FORALL_CONV : conv
STRUCTURE
Conv
SYNOPSIS
Moves a universal quantification outwards through a conjunction.
DESCRIPTION
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.
SEEALSO
FORALL_AND_CONV, LEFT_AND_FORALL_CONV, RIGHT_AND_FORALL_CONV
HOL  Kananaskis-13