RIGHT_AND_PFORALL_CONV : conv
STRUCTURE
PairRules
LIBRARY
pair
SYNOPSIS
Moves a paired universal quantification of the right conjunct outwards through a conjunction.
DESCRIPTION
When applied to a term of the form t /\ (!p. u), the conversion RIGHT_AND_PFORALL_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_FORALL_CONV, AND_PFORALL_CONV, PFORALL_AND_CONV, LEFT_AND_PFORALL_CONV
HOL  Kananaskis-13