----------------------------------------------------------------------
RIGHT_LIST_PBETA                                           (PairRules)
----------------------------------------------------------------------
RIGHT_LIST_PBETA : (thm -> thm)

KEYWORDS
rule.

LIBRARY
pair

SYNOPSIS
Iteratively beta-reduces a top-level paired beta-redex on the right-hand side
of an equation.

DESCRIBE
When applied to an equational theorem, {RIGHT_LIST_PBETA} applies paired
beta-reduction over a top-level chain of beta-redexes to the right-hand side
(only).
Variables are renamed if necessary to avoid free variable capture.

    A |- s = (\p1...pn. t) q1 ... qn
   ----------------------------------  RIGHT_LIST_BETA
       A |- s = t[q1/p1]...[qn/pn]




FAILURE
Fails unless the theorem is equational, with its right-hand side being
a top-level paired beta-redex.

SEEALSO
Drule.RIGHT_LIST_BETA, PairRules.PBETA_CONV, PairRules.PBETA_RULE,
PairRules.PBETA_TAC, PairRules.LIST_PBETA_CONV, PairRules.RIGHT_PBETA,
PairRules.LEFT_PBETA, PairRules.LEFT_LIST_PBETA.

----------------------------------------------------------------------