AND_PFORALL_CONV

PairRules.AND_PFORALL_CONV : conv

Moves a paired universal quantification outwards through a conjunction.

When applied to a term of the form (!p. t) /\ (!p. t), the conversion AND_PFORALL_CONV returns the theorem:

   |- (!p. t) /\ (!p. u) = (!p. t /\ u)

Failure

Fails if applied to a term not of the form (!p. t) /\ (!p. t).

See also

Conv.AND_FORALL_CONV, PairRules.PFORALL_AND_CONV, PairRules.LEFT_AND_PFORALL_CONV, PairRules.RIGHT_AND_PFORALL_CONV