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Fgl-rune

Fgl-rune-p

Recognizer for fgl-rune structures.

Signature
(fgl-rune-p x) → *

Definitions and Theorems

Function: fgl-rune-p

(defun fgl-rune-p (x)
  (declare (xargs :guard t))
  (let ((__function__ 'fgl-rune-p))
    (declare (ignorable __function__))
    (and (consp x)
         (cond ((or (atom x) (eq (car x) :rewrite))
                (and (true-listp (cdr x))
                     (eql (len (cdr x)) 1)
                     (b* ((acl2::?name (std::da-nth 0 (cdr x))))
                       t)))
               ((eq (car x) :definition)
                (and (true-listp (cdr x))
                     (eql (len (cdr x)) 1)
                     (b* ((acl2::?name (std::da-nth 0 (cdr x))))
                       t)))
               ((eq (car x) :formula)
                (and (true-listp (cdr x))
                     (eql (len (cdr x)) 1)
                     (b* ((name (std::da-nth 0 (cdr x))))
                       (pseudo-fnsym-p name))))
               ((eq (car x) :primitive)
                (and (true-listp (cdr x))
                     (eql (len (cdr x)) 1)
                     (b* ((name (std::da-nth 0 (cdr x))))
                       (pseudo-fnsym-p name))))
               (t (and (eq (car x) :meta)
                       (and (true-listp (cdr x))
                            (eql (len (cdr x)) 1))
                       (b* ((name (std::da-nth 0 (cdr x))))
                         (pseudo-fnsym-p name))))))))

Theorem: consp-when-fgl-rune-p

(defthm consp-when-fgl-rune-p
  (implies (fgl-rune-p x) (consp x))
  :rule-classes :compound-recognizer)