LEFT_AND_PEXISTS_CONV
PairRules.LEFT_AND_PEXISTS_CONV : conv
Moves a paired existential quantification of the left conjunct outwards through a conjunction.
When applied to a term of the form (?p. t) /\ u, the conversion
LEFT_AND_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 contains
variables free in the input term.
Failure
Fails if applied to a term not of the form (?p. t) /\ u.
See also
Conv.LEFT_AND_EXISTS_CONV,
PairRules.AND_PEXISTS_CONV,
PairRules.PEXISTS_AND_CONV,
PairRules.RIGHT_AND_PEXISTS_CONV