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Jaccess

Jaccessp

Recognizer for jaccess structures.

Signature
(jaccessp x) → *

Definitions and Theorems

Function: jaccessp

(defun jaccessp (x)
  (declare (xargs :guard t))
  (let ((__function__ 'jaccessp))
    (declare (ignorable __function__))
    (and (consp x)
         (cond ((or (atom x) (eq (car x) :public))
                (and (true-listp (cdr x))
                     (eql (len (cdr x)) 0)
                     (b* nil t)))
               ((eq (car x) :protected)
                (and (true-listp (cdr x))
                     (eql (len (cdr x)) 0)
                     (b* nil t)))
               ((eq (car x) :private)
                (and (true-listp (cdr x))
                     (eql (len (cdr x)) 0)
                     (b* nil t)))
               (t (and (eq (car x) :default)
                       (and (true-listp (cdr x))
                            (eql (len (cdr x)) 0))
                       (b* nil t)))))))

Theorem: consp-when-jaccessp

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