RIGHT_BETA : (thm -> thm)

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

DESCRIBE
When applied to an equational theorem, RIGHT_BETA applies beta-reduction at top level to the right-hand side (only). Variables are renamed if necessary to avoid free variable capture.
    A |- s = (\x. t1) t2
   ----------------------  RIGHT_BETA
     A |- s = t1[t2/x]

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

SEEALSO  BETA_CONV,   BETA_RULE,   BETA_TAC,   RIGHT_LIST_BETA

HOL  Kananaskis 0