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Ext-declon

Ext-declonp

Recognizer for ext-declon structures.

Signature
(ext-declonp x) → *

Definitions and Theorems

Function: ext-declonp

(defun ext-declonp (x)
  (declare (xargs :guard t))
  (let ((__function__ 'ext-declonp))
    (declare (ignorable __function__))
    (and (consp x)
         (cond ((or (atom x) (eq (car x) :fundef))
                (and (true-listp (cdr x))
                     (eql (len (cdr x)) 1)
                     (b* ((get (std::da-nth 0 (cdr x))))
                       (fundefp get))))
               ((eq (car x) :fun-declon)
                (and (true-listp (cdr x))
                     (eql (len (cdr x)) 1)
                     (b* ((get (std::da-nth 0 (cdr x))))
                       (fun-declonp get))))
               ((eq (car x) :obj-declon)
                (and (true-listp (cdr x))
                     (eql (len (cdr x)) 1)
                     (b* ((get (std::da-nth 0 (cdr x))))
                       (obj-declonp get))))
               (t (and (eq (car x) :tag-declon)
                       (and (true-listp (cdr x))
                            (eql (len (cdr x)) 1))
                       (b* ((get (std::da-nth 0 (cdr x))))
                         (tag-declonp get))))))))

Theorem: consp-when-ext-declonp

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