RIGHT_PBETA

PairRules.RIGHT_PBETA : (thm -> thm)

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

When applied to an equational theorem, RIGHT_PBETA applies paired beta-reduction at top level to the right-hand side (only). Variables are renamed if necessary to avoid free variable capture.

    A |- s = (\p. t1) t2
   ----------------------  RIGHT_PBETA
     A |- s = t1[t2/p]

Failure

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

See also

Drule.RIGHT_BETA, PairRules.PBETA_CONV, PairRules.PBETA_RULE, PairRules.PBETA_TAC, PairRules.RIGHT_LIST_PBETA, PairRules.LEFT_PBETA, PairRules.LEFT_LIST_PBETA