OR_PEXISTS_CONV

PairRules.OR_PEXISTS_CONV : conv

Moves a paired existential quantification outwards through a disjunction.

When applied to a term of the form (?p. t) \/ (?p. u), the conversion OR_PEXISTS_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. u).

See also

Conv.OR_EXISTS_CONV, PairRules.PEXISTS_OR_CONV, PairRules.LEFT_OR_PEXISTS_CONV, PairRules.RIGHT_OR_PEXISTS_CONV