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Hex-digit

Hex-digitp

Recognizer for hex-digit structures.

Signature
(hex-digitp x) → *

Definitions and Theorems

Function: hex-digitp

(defun hex-digitp (x)
  (declare (xargs :guard t))
  (let ((__function__ 'hex-digitp))
    (declare (ignorable __function__))
    (and (consp x)
         (eq (car x) :hex-digit)
         (mbe :logic (and (alistp (cdr x))
                          (equal (strip-cars (cdr x)) '(get)))
              :exec (fty::alist-with-carsp (cdr x) '(get)))
         (b* ((get (cdr (std::da-nth 0 (cdr x)))))
           (str::hex-digit-char-p get)))))

Theorem: consp-when-hex-digitp

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