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Lambda-binding

Lambda-binding-p

Recognizer for lambda-binding structures.

Signature
(lambda-binding-p x) → *

Definitions and Theorems

Function: lambda-binding-p

(defun lambda-binding-p (x)
  (declare (xargs :guard t))
  (let ((acl2::__function__ 'lambda-binding-p))
    (declare (ignorable acl2::__function__))
    (and (mbe :logic (and (alistp x)
                          (equal (strip-cars x)
                                 '(formals actuals)))
              :exec (fty::alist-with-carsp x '(formals actuals)))
         (b* ((formals (cdr (std::da-nth 0 x)))
              (actuals (cdr (std::da-nth 1 x))))
           (and (symbol-listp formals)
                (pseudo-term-listp actuals)
                (equal (len formals) (len actuals)))))))

Theorem: consp-when-lambda-binding-p

(defthm consp-when-lambda-binding-p
  (implies (lambda-binding-p x) (consp x))
  :rule-classes :compound-recognizer)