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• Values

Lift-symbol-list

Lift lift-symbol to lists.

Signature

(lift-symbol-list x) → symvals

Returns

symvals — Type (symbol-value-listp symvals).

This is an ordinary std::defprojection.

Definitions and Theorems

Function: lift-symbol-list-exec

(defun
   lift-symbol-list-exec (x acc)
   (declare (xargs :guard (symbol-listp x)))
   (let ((__function__ 'lift-symbol-list-exec))
        (declare (ignorable __function__))
        (if (consp x)
            (lift-symbol-list-exec (cdr x)
                                   (cons (lift-symbol (car x)) acc))
            acc)))

Function: lift-symbol-list-nrev

(defun
   lift-symbol-list-nrev (x acl2::nrev)
   (declare (xargs :stobjs (acl2::nrev)))
   (declare (xargs :guard (symbol-listp x)))
   (let ((__function__ 'lift-symbol-list-nrev))
        (declare (ignorable __function__))
        (if (atom x)
            (acl2::nrev-fix acl2::nrev)
            (let ((acl2::nrev (acl2::nrev-push (lift-symbol (car x))
                                               acl2::nrev)))
                 (lift-symbol-list-nrev (cdr x)
                                        acl2::nrev)))))

Function: lift-symbol-list

(defun
 lift-symbol-list (x)
 (declare (xargs :guard (symbol-listp x)))
 (let
  ((__function__ 'lift-symbol-list))
  (declare (ignorable __function__))
  (mbe
   :logic (if (consp x)
              (cons (lift-symbol (car x))
                    (lift-symbol-list (cdr x)))
              nil)
   :exec
   (if
    (atom x)
    nil
    (acl2::with-local-nrev (lift-symbol-list-nrev x acl2::nrev))))))

Theorem: symbol-value-listp-of-lift-symbol-list

(defthm symbol-value-listp-of-lift-symbol-list
        (b* ((symvals (lift-symbol-list x)))
            (symbol-value-listp symvals))
        :rule-classes :rewrite)

Theorem: lift-symbol-list-nrev-removal

(defthm lift-symbol-list-nrev-removal
        (equal (lift-symbol-list-nrev acl2::x acl2::nrev)
               (append acl2::nrev (lift-symbol-list acl2::x)))
        :rule-classes ((:rewrite)))

Theorem: lift-symbol-list-exec-removal

(defthm lift-symbol-list-exec-removal
        (equal (lift-symbol-list-exec acl2::x acl2::acc)
               (revappend (lift-symbol-list acl2::x)
                          acl2::acc))
        :rule-classes ((:rewrite)))

Theorem: lift-symbol-list-of-rev

(defthm lift-symbol-list-of-rev
        (equal (lift-symbol-list (rev acl2::x))
               (rev (lift-symbol-list acl2::x)))
        :rule-classes ((:rewrite)))

Theorem: lift-symbol-list-of-list-fix

(defthm lift-symbol-list-of-list-fix
        (equal (lift-symbol-list (list-fix acl2::x))
               (lift-symbol-list acl2::x))
        :rule-classes ((:rewrite)))

Theorem: lift-symbol-list-of-append

(defthm lift-symbol-list-of-append
        (equal (lift-symbol-list (append acl2::a acl2::b))
               (append (lift-symbol-list acl2::a)
                       (lift-symbol-list acl2::b)))
        :rule-classes ((:rewrite)))

Theorem: cdr-of-lift-symbol-list

(defthm cdr-of-lift-symbol-list
        (equal (cdr (lift-symbol-list acl2::x))
               (lift-symbol-list (cdr acl2::x)))
        :rule-classes ((:rewrite)))

Theorem: car-of-lift-symbol-list

(defthm car-of-lift-symbol-list
        (equal (car (lift-symbol-list acl2::x))
               (and (consp acl2::x)
                    (lift-symbol (car acl2::x))))
        :rule-classes ((:rewrite)))

Theorem: lift-symbol-list-under-iff

(defthm lift-symbol-list-under-iff
        (iff (lift-symbol-list acl2::x)
             (consp acl2::x))
        :rule-classes ((:rewrite)))

Theorem: consp-of-lift-symbol-list

(defthm consp-of-lift-symbol-list
        (equal (consp (lift-symbol-list acl2::x))
               (consp acl2::x))
        :rule-classes ((:rewrite)))

Theorem: len-of-lift-symbol-list

(defthm len-of-lift-symbol-list
        (equal (len (lift-symbol-list acl2::x))
               (len acl2::x))
        :rule-classes ((:rewrite)))

Theorem: true-listp-of-lift-symbol-list

(defthm true-listp-of-lift-symbol-list
        (true-listp (lift-symbol-list acl2::x))
        :rule-classes :type-prescription)

Theorem: lift-symbol-list-when-not-consp

(defthm lift-symbol-list-when-not-consp
        (implies (not (consp acl2::x))
                 (equal (lift-symbol-list acl2::x) nil))
        :rule-classes ((:rewrite)))

Theorem: lift-symbol-list-of-cons

(defthm lift-symbol-list-of-cons
        (equal (lift-symbol-list (cons acl2::a acl2::b))
               (cons (lift-symbol acl2::a)
                     (lift-symbol-list acl2::b)))
        :rule-classes ((:rewrite)))