LEFT_OR_PEXISTS_CONV

PairRules.LEFT_OR_PEXISTS_CONV : conv

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

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

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

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 (?p. t) \/ u.

See also

Conv.LEFT_OR_EXISTS_CONV, PairRules.PEXISTS_OR_CONV, PairRules.OR_PEXISTS_CONV, PairRules.RIGHT_OR_PEXISTS_CONV