RIGHT_IMP_PEXISTS_CONV : conv
STRUCTURE
PairRules
LIBRARY
pair
SYNOPSIS
Moves a paired existential quantification of the consequent outwards through an implication.
DESCRIPTION
When applied to a term of the form t ==> (?p. u), RIGHT_IMP_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 that appear free in the input term.
FAILURE
Fails if applied to a term not of the form t ==> (?p. u).
SEEALSO
RIGHT_IMP_EXISTS_CONV, PEXISTS_IMP_CONV, LEFT_IMP_PFORALL_CONV
HOL  Kananaskis-14