RIGHT_AND_PEXISTS_CONV : conv
STRUCTURE
PairRules
LIBRARY
pair
SYNOPSIS
Moves a paired existential quantification of the right conjunct outwards through a conjunction.
DESCRIPTION
When applied to a term of the form t /\ (?p. t), the conversion RIGHT_AND_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).
SEEALSO
RIGHT_AND_EXISTS_CONV, AND_PEXISTS_CONV, PEXISTS_AND_CONV, LEFT_AND_PEXISTS_CONV
HOL  Kananaskis-13