RIGHT_IMP_FORALL_CONV

Conv.RIGHT_IMP_FORALL_CONV : conv

Moves a universal quantification of the consequent outwards through an implication.

When applied to a term of the form P ==> (!x.Q), the conversion RIGHT_IMP_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.FORALL_IMP_CONV, Conv.LEFT_IMP_EXISTS_CONV