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Hex-quad

Hex-quad-p

Recognizer for hex-quad structures.

Signature
(hex-quad-p x) → *

Definitions and Theorems

Function: hex-quad-p

(defun hex-quad-p (x)
  (declare (xargs :guard t))
  (and (consp x)
       (consp (car x))
       (consp (cdr x))
       (b* ((1st (car (car x)))
            (2nd (cdr (car x)))
            (3rd (car (cdr x)))
            (4th (cdr (cdr x))))
         (and (hex-digit-char-p 1st)
              (hex-digit-char-p 2nd)
              (hex-digit-char-p 3rd)
              (hex-digit-char-p 4th)))))

Theorem: consp-when-hex-quad-p

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