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• Stmtrewrite

Vl-modulelist-stmtrewrite

(vl-modulelist-stmtrewrite x unroll-limit) maps vl-module-stmtrewrite across a list.

Signature

(vl-modulelist-stmtrewrite x unroll-limit) → *

This is an ordinary defprojection.

Definitions and Theorems

Function: vl-modulelist-stmtrewrite-exec

(defun vl-modulelist-stmtrewrite-exec (x unroll-limit acc)
  (declare (xargs :guard (and (vl-modulelist-p x)
                              (natp unroll-limit))))
  (let ((__function__ 'vl-modulelist-stmtrewrite-exec))
    (declare (ignorable __function__))
    (if (consp x)
        (vl-modulelist-stmtrewrite-exec
             (cdr x)
             unroll-limit
             (cons (vl-module-stmtrewrite (car x)
                                          unroll-limit)
                   acc))
      acc)))

Function: vl-modulelist-stmtrewrite-nrev

(defun vl-modulelist-stmtrewrite-nrev (x unroll-limit nrev)
  (declare (xargs :stobjs (nrev)))
  (declare (xargs :guard (and (vl-modulelist-p x)
                              (natp unroll-limit))))
  (let ((__function__ 'vl-modulelist-stmtrewrite-nrev))
    (declare (ignorable __function__))
    (if (atom x)
        (nrev-fix nrev)
      (let ((nrev (nrev-push (vl-module-stmtrewrite (car x)
                                                    unroll-limit)
                             nrev)))
        (vl-modulelist-stmtrewrite-nrev (cdr x)
                                        unroll-limit nrev)))))

Function: vl-modulelist-stmtrewrite

(defun vl-modulelist-stmtrewrite (x unroll-limit)
 (declare (xargs :guard (and (vl-modulelist-p x)
                             (natp unroll-limit))))
 (let ((__function__ 'vl-modulelist-stmtrewrite))
  (declare (ignorable __function__))
  (mbe
    :logic
    (if (consp x)
        (cons (vl-module-stmtrewrite (car x)
                                     unroll-limit)
              (vl-modulelist-stmtrewrite (cdr x)
                                         unroll-limit))
      nil)
    :exec
    (if (atom x)
        nil
      (with-local-nrev
           (vl-modulelist-stmtrewrite-nrev x unroll-limit nrev))))))

Theorem: vl-modulelist-stmtrewrite-of-update-nth

(defthm vl-modulelist-stmtrewrite-of-update-nth
 (implies
  (<= (nfix acl2::n) (len acl2::x))
  (equal
     (vl-modulelist-stmtrewrite (update-nth acl2::n acl2::v acl2::x)
                                unroll-limit)
     (update-nth acl2::n
                 (vl-module-stmtrewrite acl2::v unroll-limit)
                 (vl-modulelist-stmtrewrite acl2::x unroll-limit))))
 :rule-classes ((:rewrite)))

Theorem: vl-modulelist-stmtrewrite-of-revappend

(defthm vl-modulelist-stmtrewrite-of-revappend
  (equal
       (vl-modulelist-stmtrewrite (revappend acl2::x acl2::y)
                                  unroll-limit)
       (revappend (vl-modulelist-stmtrewrite acl2::x unroll-limit)
                  (vl-modulelist-stmtrewrite acl2::y unroll-limit)))
  :rule-classes ((:rewrite)))

Theorem: nthcdr-of-vl-modulelist-stmtrewrite

(defthm nthcdr-of-vl-modulelist-stmtrewrite
  (equal (nthcdr acl2::n
                 (vl-modulelist-stmtrewrite acl2::x unroll-limit))
         (vl-modulelist-stmtrewrite (nthcdr acl2::n acl2::x)
                                    unroll-limit))
  :rule-classes ((:rewrite)))

Theorem: nth-of-vl-modulelist-stmtrewrite

(defthm nth-of-vl-modulelist-stmtrewrite
  (equal (nth acl2::n
              (vl-modulelist-stmtrewrite acl2::x unroll-limit))
         (and (< (nfix acl2::n) (len acl2::x))
              (vl-module-stmtrewrite (nth acl2::n acl2::x)
                                     unroll-limit)))
  :rule-classes ((:rewrite)))

Theorem: vl-modulelist-stmtrewrite-nrev-removal

(defthm vl-modulelist-stmtrewrite-nrev-removal
  (equal (vl-modulelist-stmtrewrite-nrev acl2::x unroll-limit nrev)
         (append nrev
                 (vl-modulelist-stmtrewrite acl2::x unroll-limit)))
  :rule-classes ((:rewrite)))

Theorem: vl-modulelist-stmtrewrite-exec-removal

(defthm vl-modulelist-stmtrewrite-exec-removal
 (equal
     (vl-modulelist-stmtrewrite-exec acl2::x unroll-limit acl2::acc)
     (revappend (vl-modulelist-stmtrewrite acl2::x unroll-limit)
                acl2::acc))
 :rule-classes ((:rewrite)))

Theorem: vl-modulelist-stmtrewrite-of-take

(defthm vl-modulelist-stmtrewrite-of-take
 (implies
    (<= (nfix acl2::n) (len acl2::x))
    (equal (vl-modulelist-stmtrewrite (take acl2::n acl2::x)
                                      unroll-limit)
           (take acl2::n
                 (vl-modulelist-stmtrewrite acl2::x unroll-limit))))
 :rule-classes ((:rewrite)))

Theorem: set-equiv-congruence-over-vl-modulelist-stmtrewrite

(defthm set-equiv-congruence-over-vl-modulelist-stmtrewrite
  (implies
       (set-equiv acl2::x acl2::y)
       (set-equiv (vl-modulelist-stmtrewrite acl2::x unroll-limit)
                  (vl-modulelist-stmtrewrite acl2::y unroll-limit)))
  :rule-classes ((:congruence)))

Theorem: subsetp-of-vl-modulelist-stmtrewrite-when-subsetp

(defthm subsetp-of-vl-modulelist-stmtrewrite-when-subsetp
  (implies
       (subsetp acl2::x acl2::y)
       (subsetp (vl-modulelist-stmtrewrite acl2::x unroll-limit)
                (vl-modulelist-stmtrewrite acl2::y unroll-limit)))
  :rule-classes ((:rewrite)))

Theorem: member-of-vl-module-stmtrewrite-in-vl-modulelist-stmtrewrite

(defthm member-of-vl-module-stmtrewrite-in-vl-modulelist-stmtrewrite
 (implies (member acl2::k acl2::x)
          (member (vl-module-stmtrewrite acl2::k unroll-limit)
                  (vl-modulelist-stmtrewrite acl2::x unroll-limit)))
 :rule-classes ((:rewrite)))

Theorem: vl-modulelist-stmtrewrite-of-rev

(defthm vl-modulelist-stmtrewrite-of-rev
  (equal (vl-modulelist-stmtrewrite (rev acl2::x)
                                    unroll-limit)
         (rev (vl-modulelist-stmtrewrite acl2::x unroll-limit)))
  :rule-classes ((:rewrite)))

Theorem: vl-modulelist-stmtrewrite-of-list-fix

(defthm vl-modulelist-stmtrewrite-of-list-fix
  (equal (vl-modulelist-stmtrewrite (list-fix acl2::x)
                                    unroll-limit)
         (vl-modulelist-stmtrewrite acl2::x unroll-limit))
  :rule-classes ((:rewrite)))

Theorem: vl-modulelist-stmtrewrite-of-append

(defthm vl-modulelist-stmtrewrite-of-append
  (equal (vl-modulelist-stmtrewrite (append acl2::a acl2::b)
                                    unroll-limit)
         (append (vl-modulelist-stmtrewrite acl2::a unroll-limit)
                 (vl-modulelist-stmtrewrite acl2::b unroll-limit)))
  :rule-classes ((:rewrite)))

Theorem: cdr-of-vl-modulelist-stmtrewrite

(defthm cdr-of-vl-modulelist-stmtrewrite
  (equal (cdr (vl-modulelist-stmtrewrite acl2::x unroll-limit))
         (vl-modulelist-stmtrewrite (cdr acl2::x)
                                    unroll-limit))
  :rule-classes ((:rewrite)))

Theorem: car-of-vl-modulelist-stmtrewrite

(defthm car-of-vl-modulelist-stmtrewrite
  (equal (car (vl-modulelist-stmtrewrite acl2::x unroll-limit))
         (and (consp acl2::x)
              (vl-module-stmtrewrite (car acl2::x)
                                     unroll-limit)))
  :rule-classes ((:rewrite)))

Theorem: vl-modulelist-stmtrewrite-under-iff

(defthm vl-modulelist-stmtrewrite-under-iff
  (iff (vl-modulelist-stmtrewrite acl2::x unroll-limit)
       (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: consp-of-vl-modulelist-stmtrewrite

(defthm consp-of-vl-modulelist-stmtrewrite
  (equal (consp (vl-modulelist-stmtrewrite acl2::x unroll-limit))
         (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: len-of-vl-modulelist-stmtrewrite

(defthm len-of-vl-modulelist-stmtrewrite
  (equal (len (vl-modulelist-stmtrewrite acl2::x unroll-limit))
         (len acl2::x))
  :rule-classes ((:rewrite)))

Theorem: true-listp-of-vl-modulelist-stmtrewrite

(defthm true-listp-of-vl-modulelist-stmtrewrite
  (true-listp (vl-modulelist-stmtrewrite acl2::x unroll-limit))
  :rule-classes :type-prescription)

Theorem: vl-modulelist-stmtrewrite-when-not-consp

(defthm vl-modulelist-stmtrewrite-when-not-consp
  (implies (not (consp acl2::x))
           (equal (vl-modulelist-stmtrewrite acl2::x unroll-limit)
                  nil))
  :rule-classes ((:rewrite)))

Theorem: vl-modulelist-stmtrewrite-of-cons

(defthm vl-modulelist-stmtrewrite-of-cons
  (equal (vl-modulelist-stmtrewrite (cons acl2::a acl2::b)
                                    unroll-limit)
         (cons (vl-module-stmtrewrite acl2::a unroll-limit)
               (vl-modulelist-stmtrewrite acl2::b unroll-limit)))
  :rule-classes ((:rewrite)))

Theorem: vl-modulelist-p-of-vl-modulelist-stmtrewrite

(defthm vl-modulelist-p-of-vl-modulelist-stmtrewrite
 (implies
      (force (and (vl-modulelist-p x)
                  (natp unroll-limit)))
      (vl-modulelist-p (vl-modulelist-stmtrewrite x unroll-limit))))