LEFT_OR_FORALL_CONV

Conv.LEFT_OR_FORALL_CONV : conv

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

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