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Dec/oct/hex-const

Dec/oct/hex-constp

Recognizer for dec/oct/hex-const structures.

Signature
(dec/oct/hex-constp x) → *

Definitions and Theorems

Function: dec/oct/hex-constp

(defun dec/oct/hex-constp (x)
  (declare (xargs :guard t))
  (and (consp x)
       (cond ((or (atom x) (eq (car x) :dec))
              (and (b* ((value (cdr x))) (posp value))))
             ((eq (car x) :oct)
              (and (consp (cdr x))
                   (b* ((leading-zeros (car (cdr x)))
                        (value (cdr (cdr x))))
                     (and (posp leading-zeros)
                          (natp value)))))
             (t (and (eq (car x) :hex)
                     (and (consp (cdr x)))
                     (b* ((prefix (car (cdr x)))
                          (digits (cdr (cdr x))))
                       (and (hprefixp prefix)
                            (hex-digit-char-listp digits))))))))

Theorem: consp-when-dec/oct/hex-constp

(defthm consp-when-dec/oct/hex-constp
  (implies (dec/oct/hex-constp x)
           (consp x))
  :rule-classes :compound-recognizer)