RIGHT_IMP_PFORALL_CONV : conv
STRUCTURE
PairRules
LIBRARY
pair
SYNOPSIS
Moves a paired universal quantification of the consequent outwards through an implication.
DESCRIPTION
When applied to a term of the form t ==> (!p. u), the conversion RIGHT_IMP_FORALL_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_FORALL_CONV, PFORALL_IMP_CONV, LEFT_IMP_PEXISTS_CONV
HOL  Kananaskis-14