RIGHT_OR_PEXISTS_CONV

PairRules.RIGHT_OR_PEXISTS_CONV : conv

Moves a paired existential quantification of the right disjunct outwards through a disjunction.

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

   |- t \/ (?p. u) = (?p'. t \/ (u[p'/p]))

where p' is a primed variant of the pair p that does not contain any variables free in the input term.

Failure

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

See also

Conv.RIGHT_OR_EXISTS_CONV, PairRules.OR_PEXISTS_CONV, PairRules.PEXISTS_OR_CONV, PairRules.LEFT_OR_PEXISTS_CONV