LEFT_AND_FORALL_CONV
Conv.LEFT_AND_FORALL_CONV : conv
Moves a universal quantification of the left conjunct outwards through a conjunction.
When applied to a term of the form (!x.P) /\ Q, the conversion
LEFT_AND_FORALL_CONV returns the theorem:
|- (!x.P) /\ Q = (!x'. P[x'/x] /\ Q)
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 (!x.P) /\ Q.
See also
Conv.AND_FORALL_CONV,
Conv.FORALL_AND_CONV,
Conv.RIGHT_AND_FORALL_CONV