		Search-engine friendly clone of the ACL2 documentation.

Sinteger-bit-role

Sinteger-bit-rolep

Recognizer for sinteger-bit-role structures.

Signature
(sinteger-bit-rolep x) → *

Definitions and Theorems

Function: sinteger-bit-rolep

(defun sinteger-bit-rolep (x)
  (declare (xargs :guard t))
  (let ((__function__ 'sinteger-bit-rolep))
    (declare (ignorable __function__))
    (and (consp x)
         (cond ((or (atom x) (eq (car x) :sign))
                (and (true-listp (cdr x))
                     (eql (len (cdr x)) 0)
                     (b* nil t)))
               ((eq (car x) :value)
                (and (true-listp (cdr x))
                     (eql (len (cdr x)) 1)
                     (b* ((exp (std::da-nth 0 (cdr x))))
                       (natp exp))))
               (t (and (eq (car x) :padding)
                       (and (true-listp (cdr x))
                            (eql (len (cdr x)) 0))
                       (b* nil t)))))))

Theorem: consp-when-sinteger-bit-rolep

(defthm consp-when-sinteger-bit-rolep
  (implies (sinteger-bit-rolep x)
           (consp x))
  :rule-classes :compound-recognizer)