RIGHT_AND_EXISTS_CONV : conv

SYNOPSIS
Moves an existential quantification of the right conjunct outwards through a conjunction.

DESCRIBE
When applied to a term of the form P /\ (?x.Q), the conversion RIGHT_AND_EXISTS_CONV returns the theorem:
   |- P /\ (?x.Q) = (?x'. P /\ (Q[x'/x]))
where x' is a primed variant of x that does not appear free in the input term.

FAILURE
Fails if applied to a term not of the form P /\ (?x.Q).

SEEALSO  AND_EXISTS_CONV,   EXISTS_AND_CONV,   LEFT_AND_EXISTS_CONV

HOL  Kananaskis 0