		Search-engine friendly clone of the ACL2 documentation.

Literal-type

Literal-typep

Recognizer for literal-type structures.

Signature
(literal-typep x) → *

Definitions and Theorems

Function: literal-typep

(defun literal-typep (x)
  (declare (xargs :guard t))
  (let ((__function__ 'literal-typep))
    (declare (ignorable __function__))
    (and (consp x)
         (cond ((or (atom x) (eq (car x) :boolean))
                (and (true-listp (cdr x))
                     (eql (len (cdr x)) 0)
                     (b* nil t)))
               ((eq (car x) :unsigned)
                (and (true-listp (cdr x))
                     (eql (len (cdr x)) 1)
                     (b* ((size (std::da-nth 0 (cdr x))))
                       (leo-early::bitsizep size))))
               ((eq (car x) :signed)
                (and (true-listp (cdr x))
                     (eql (len (cdr x)) 1)
                     (b* ((size (std::da-nth 0 (cdr x))))
                       (leo-early::bitsizep size))))
               ((eq (car x) :field)
                (and (true-listp (cdr x))
                     (eql (len (cdr x)) 0)
                     (b* nil t)))
               ((eq (car x) :group)
                (and (true-listp (cdr x))
                     (eql (len (cdr x)) 0)
                     (b* nil t)))
               ((eq (car x) :scalar)
                (and (true-listp (cdr x))
                     (eql (len (cdr x)) 0)
                     (b* nil t)))
               ((eq (car x) :address)
                (and (true-listp (cdr x))
                     (eql (len (cdr x)) 0)
                     (b* nil t)))
               (t (and (eq (car x) :string)
                       (and (true-listp (cdr x))
                            (eql (len (cdr x)) 0))
                       (b* nil t)))))))

Theorem: consp-when-literal-typep

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