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• Edgesynth

Vl-assignstmtlist->controls

(vl-assignstmtlist->controls x) maps vl-assignstmt->ctrl across a list.

Signature

(vl-assignstmtlist->controls x) → *

This is an ordinary defprojection.

Definitions and Theorems

Function: vl-assignstmtlist->controls-exec

(defun vl-assignstmtlist->controls-exec (x acc)
  (declare (xargs :guard (and (vl-stmtlist-p x)
                              (vl-assignstmtlist-p x))))
  (let ((__function__ 'vl-assignstmtlist->controls-exec))
    (declare (ignorable __function__))
    (if (consp x)
        (vl-assignstmtlist->controls-exec
             (cdr x)
             (cons (vl-assignstmt->ctrl (car x))
                   acc))
      acc)))

Function: vl-assignstmtlist->controls-nrev

(defun vl-assignstmtlist->controls-nrev (x nrev)
  (declare (xargs :stobjs (nrev)))
  (declare (xargs :guard (and (vl-stmtlist-p x)
                              (vl-assignstmtlist-p x))))
  (let ((__function__ 'vl-assignstmtlist->controls-nrev))
    (declare (ignorable __function__))
    (if (atom x)
        (nrev-fix nrev)
      (let ((nrev (nrev-push (vl-assignstmt->ctrl (car x))
                             nrev)))
        (vl-assignstmtlist->controls-nrev (cdr x)
                                          nrev)))))

Function: vl-assignstmtlist->controls

(defun vl-assignstmtlist->controls (x)
 (declare (xargs :guard (and (vl-stmtlist-p x)
                             (vl-assignstmtlist-p x))))
 (let ((__function__ 'vl-assignstmtlist->controls))
  (declare (ignorable __function__))
  (mbe
   :logic
   (if (consp x)
       (cons (vl-assignstmt->ctrl (car x))
             (vl-assignstmtlist->controls (cdr x)))
     nil)
   :exec
   (if (atom x)
       nil
     (with-local-nrev (vl-assignstmtlist->controls-nrev x nrev))))))

Theorem: vl-assignstmtlist->controls-of-update-nth

(defthm vl-assignstmtlist->controls-of-update-nth
  (implies
       (<= (nfix acl2::n) (len acl2::x))
       (equal (vl-assignstmtlist->controls
                   (update-nth acl2::n acl2::v acl2::x))
              (update-nth acl2::n (vl-assignstmt->ctrl acl2::v)
                          (vl-assignstmtlist->controls acl2::x))))
  :rule-classes ((:rewrite)))

Theorem: vl-assignstmtlist->controls-of-revappend

(defthm vl-assignstmtlist->controls-of-revappend
  (equal (vl-assignstmtlist->controls (revappend acl2::x acl2::y))
         (revappend (vl-assignstmtlist->controls acl2::x)
                    (vl-assignstmtlist->controls acl2::y)))
  :rule-classes ((:rewrite)))

Theorem: nthcdr-of-vl-assignstmtlist->controls

(defthm nthcdr-of-vl-assignstmtlist->controls
  (equal (nthcdr acl2::n
                 (vl-assignstmtlist->controls acl2::x))
         (vl-assignstmtlist->controls (nthcdr acl2::n acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: nth-of-vl-assignstmtlist->controls

(defthm nth-of-vl-assignstmtlist->controls
  (equal (nth acl2::n
              (vl-assignstmtlist->controls acl2::x))
         (and (< (nfix acl2::n) (len acl2::x))
              (vl-assignstmt->ctrl (nth acl2::n acl2::x))))
  :rule-classes ((:rewrite)))

Theorem: vl-assignstmtlist->controls-nrev-removal

(defthm vl-assignstmtlist->controls-nrev-removal
  (equal (vl-assignstmtlist->controls-nrev acl2::x nrev)
         (append nrev
                 (vl-assignstmtlist->controls acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: vl-assignstmtlist->controls-exec-removal

(defthm vl-assignstmtlist->controls-exec-removal
  (equal (vl-assignstmtlist->controls-exec acl2::x acl2::acc)
         (revappend (vl-assignstmtlist->controls acl2::x)
                    acl2::acc))
  :rule-classes ((:rewrite)))

Theorem: vl-assignstmtlist->controls-of-take

(defthm vl-assignstmtlist->controls-of-take
  (implies
       (<= (nfix acl2::n) (len acl2::x))
       (equal (vl-assignstmtlist->controls (take acl2::n acl2::x))
              (take acl2::n
                    (vl-assignstmtlist->controls acl2::x))))
  :rule-classes ((:rewrite)))

Theorem: set-equiv-congruence-over-vl-assignstmtlist->controls

(defthm set-equiv-congruence-over-vl-assignstmtlist->controls
  (implies (set-equiv acl2::x acl2::y)
           (set-equiv (vl-assignstmtlist->controls acl2::x)
                      (vl-assignstmtlist->controls acl2::y)))
  :rule-classes ((:congruence)))

Theorem: subsetp-of-vl-assignstmtlist->controls-when-subsetp

(defthm subsetp-of-vl-assignstmtlist->controls-when-subsetp
  (implies (subsetp acl2::x acl2::y)
           (subsetp (vl-assignstmtlist->controls acl2::x)
                    (vl-assignstmtlist->controls acl2::y)))
  :rule-classes ((:rewrite)))

Theorem: member-of-vl-assignstmt->ctrl-in-vl-assignstmtlist->controls

(defthm member-of-vl-assignstmt->ctrl-in-vl-assignstmtlist->controls
  (implies (member acl2::k acl2::x)
           (member (vl-assignstmt->ctrl acl2::k)
                   (vl-assignstmtlist->controls acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: vl-assignstmtlist->controls-of-rev

(defthm vl-assignstmtlist->controls-of-rev
  (equal (vl-assignstmtlist->controls (rev acl2::x))
         (rev (vl-assignstmtlist->controls acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: vl-assignstmtlist->controls-of-list-fix

(defthm vl-assignstmtlist->controls-of-list-fix
  (equal (vl-assignstmtlist->controls (list-fix acl2::x))
         (vl-assignstmtlist->controls acl2::x))
  :rule-classes ((:rewrite)))

Theorem: vl-assignstmtlist->controls-of-append

(defthm vl-assignstmtlist->controls-of-append
  (equal (vl-assignstmtlist->controls (append acl2::a acl2::b))
         (append (vl-assignstmtlist->controls acl2::a)
                 (vl-assignstmtlist->controls acl2::b)))
  :rule-classes ((:rewrite)))

Theorem: cdr-of-vl-assignstmtlist->controls

(defthm cdr-of-vl-assignstmtlist->controls
  (equal (cdr (vl-assignstmtlist->controls acl2::x))
         (vl-assignstmtlist->controls (cdr acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: car-of-vl-assignstmtlist->controls

(defthm car-of-vl-assignstmtlist->controls
  (equal (car (vl-assignstmtlist->controls acl2::x))
         (and (consp acl2::x)
              (vl-assignstmt->ctrl (car acl2::x))))
  :rule-classes ((:rewrite)))

Theorem: vl-assignstmtlist->controls-under-iff

(defthm vl-assignstmtlist->controls-under-iff
  (iff (vl-assignstmtlist->controls acl2::x)
       (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: consp-of-vl-assignstmtlist->controls

(defthm consp-of-vl-assignstmtlist->controls
  (equal (consp (vl-assignstmtlist->controls acl2::x))
         (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: len-of-vl-assignstmtlist->controls

(defthm len-of-vl-assignstmtlist->controls
  (equal (len (vl-assignstmtlist->controls acl2::x))
         (len acl2::x))
  :rule-classes ((:rewrite)))

Theorem: true-listp-of-vl-assignstmtlist->controls

(defthm true-listp-of-vl-assignstmtlist->controls
  (true-listp (vl-assignstmtlist->controls acl2::x))
  :rule-classes :type-prescription)

Theorem: vl-assignstmtlist->controls-when-not-consp

(defthm vl-assignstmtlist->controls-when-not-consp
  (implies (not (consp acl2::x))
           (equal (vl-assignstmtlist->controls acl2::x)
                  nil))
  :rule-classes ((:rewrite)))

Theorem: vl-assignstmtlist->controls-of-cons

(defthm vl-assignstmtlist->controls-of-cons
  (equal (vl-assignstmtlist->controls (cons acl2::a acl2::b))
         (cons (vl-assignstmt->ctrl acl2::a)
               (vl-assignstmtlist->controls acl2::b)))
  :rule-classes ((:rewrite)))

Theorem: vl-assigncontrols-p-of-vl-assignstmtlist->controls

(defthm vl-assigncontrols-p-of-vl-assignstmtlist->controls
  (implies (force (and (vl-stmtlist-p x)
                       (vl-assignstmtlist-p x)))
           (vl-assigncontrols-p (vl-assignstmtlist->controls x))))