FORALL_AND_CONV

Conv.FORALL_AND_CONV : conv

Moves a universal quantification inwards through a conjunction.

When applied to a term of the form !x. P /\ Q, the conversion FORALL_AND_CONV returns the theorem:

   |- (!x. P /\ Q) = (!x.P) /\ (!x.Q)

Failure

Fails if applied to a term not of the form !x. P /\ Q.

See also

Conv.AND_FORALL_CONV, Conv.LEFT_AND_FORALL_CONV, Conv.RIGHT_AND_FORALL_CONV