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Binding

Binding-p

Recognizer for binding structures.

Signature
(binding-p x) → *

Definitions and Theorems

Function: binding-p

(defun binding-p (x)
  (declare (xargs :guard t))
  (let ((acl2::__function__ 'binding-p))
    (declare (ignorable acl2::__function__))
    (and (mbe :logic (and (alistp x)
                          (equal (strip-cars x) '(var expr type)))
              :exec (fty::alist-with-carsp x '(var expr type)))
         (b* ((var (cdr (std::da-nth 0 x)))
              (expr (cdr (std::da-nth 1 x)))
              (type (cdr (std::da-nth 2 x))))
           (and (symbolp var)
                (pseudo-termp expr)
                (symbolp type))))))

Theorem: consp-when-binding-p

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