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Toplevel

Toplevelp

Recognizer for toplevel structures.

Signature
(toplevelp x) → *

Definitions and Theorems

Function: toplevelp

(defun toplevelp (x)
  (declare (xargs :guard t))
  (let ((__function__ 'toplevelp))
    (declare (ignorable __function__))
    (and (consp x)
         (cond ((or (atom x) (eq (car x) :type))
                (and (true-listp (cdr x))
                     (eql (len (cdr x)) 1)
                     (b* ((get (std::da-nth 0 (cdr x))))
                       (type-definitionp get))))
               ((eq (car x) :types)
                (and (true-listp (cdr x))
                     (eql (len (cdr x)) 1)
                     (b* ((get (std::da-nth 0 (cdr x))))
                       (type-recursionp get))))
               ((eq (car x) :function)
                (and (true-listp (cdr x))
                     (eql (len (cdr x)) 1)
                     (b* ((get (std::da-nth 0 (cdr x))))
                       (function-definitionp get))))
               ((eq (car x) :functions)
                (and (true-listp (cdr x))
                     (eql (len (cdr x)) 1)
                     (b* ((get (std::da-nth 0 (cdr x))))
                       (function-recursionp get))))
               ((eq (car x) :specification)
                (and (true-listp (cdr x))
                     (eql (len (cdr x)) 1)
                     (b* ((get (std::da-nth 0 (cdr x))))
                       (function-specificationp get))))
               ((eq (car x) :theorem)
                (and (true-listp (cdr x))
                     (eql (len (cdr x)) 1)
                     (b* ((get (std::da-nth 0 (cdr x))))
                       (theoremp get))))
               (t (and (eq (car x) :transform)
                       (and (true-listp (cdr x))
                            (eql (len (cdr x)) 1))
                       (b* ((get (std::da-nth 0 (cdr x))))
                         (transformp get))))))))

Theorem: consp-when-toplevelp

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