RIGHT_OR_FORALL_CONV

Conv.RIGHT_OR_FORALL_CONV : conv

Moves a universal quantification of the right disjunct outwards through a disjunction.

When applied to a term of the form P \/ (!x.Q), the conversion RIGHT_OR_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.OR_FORALL_CONV, Conv.FORALL_OR_CONV, Conv.LEFT_OR_FORALL_CONV