Recognizer for atj-atype structures.
(atj-atypep x) → *
Function:
(defun atj-atypep (x) (declare (xargs :guard t)) (let ((__function__ 'atj-atypep)) (declare (ignorable __function__)) (and (consp x) (cond ((or (atom x) (eq (car x) :integer)) (and (true-listp (cdr x)) (eql (len (cdr x)) 0) (b* nil t))) ((eq (car x) :rational) (and (true-listp (cdr x)) (eql (len (cdr x)) 0) (b* nil t))) ((eq (car x) :number) (and (true-listp (cdr x)) (eql (len (cdr x)) 0) (b* nil t))) ((eq (car x) :character) (and (true-listp (cdr x)) (eql (len (cdr x)) 0) (b* nil t))) ((eq (car x) :string) (and (true-listp (cdr x)) (eql (len (cdr x)) 0) (b* nil t))) ((eq (car x) :symbol) (and (true-listp (cdr x)) (eql (len (cdr x)) 0) (b* nil t))) ((eq (car x) :boolean) (and (true-listp (cdr x)) (eql (len (cdr x)) 0) (b* nil t))) ((eq (car x) :cons) (and (true-listp (cdr x)) (eql (len (cdr x)) 0) (b* nil t))) (t (and (eq (car x) :value) (and (true-listp (cdr x)) (eql (len (cdr x)) 0)) (b* nil t)))))))
Theorem:
(defthm consp-when-atj-atypep (implies (atj-atypep x) (consp x)) :rule-classes :compound-recognizer)