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Hex-quad

Hex-quadp

Recognizer for hex-quad structures.

Signature
(hex-quadp x) → *

Definitions and Theorems

Function: hex-quadp

(defun hex-quadp (x)
  (declare (xargs :guard t))
  (let ((__function__ 'hex-quadp))
    (declare (ignorable __function__))
    (and (consp x)
         (eq (car x) :hex-quad)
         (mbe :logic (and (alistp (cdr x))
                          (equal (strip-cars (cdr x))
                                 '(1st 2nd 3rd 4th)))
              :exec (fty::alist-with-carsp (cdr x)
                                           '(1st 2nd 3rd 4th)))
         (b* ((1st (cdr (std::da-nth 0 (cdr x))))
              (2nd (cdr (std::da-nth 1 (cdr x))))
              (3rd (cdr (std::da-nth 2 (cdr x))))
              (4th (cdr (std::da-nth 3 (cdr x)))))
           (and (hex-digitp 1st)
                (hex-digitp 2nd)
                (hex-digitp 3rd)
                (hex-digitp 4th))))))

Theorem: consp-when-hex-quadp

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